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Finding the Third Proportional to 134,157.75 and 181,553.63

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Solution

The third proportional to 134,157.75 and 181,553.63 is: 245,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,157.75 : 181,553.63 = 181,553.63 : x
  2. Step 2: Convert to fraction form
    134,157.75/181,553.63 = 181,553.63/x
  3. Step 3: Cross multiply
    134,157.75x = 181,553.63 × 181,553.63
  4. Step 4: Simplify right side
    134,157.75x = 32,961,718,750.64
  5. Step 5: Solve for x
    x = 32,961,718,750.64/134,157.75
  6. Step 6: Final answer
    x = 245,693.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.