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Finding the Third Proportional to 134,156.63 and 181,551.94

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Solution

The third proportional to 134,156.63 and 181,551.94 is: 245,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,156.63 : 181,551.94 = 181,551.94 : x
  2. Step 2: Convert to fraction form
    134,156.63/181,551.94 = 181,551.94/x
  3. Step 3: Cross multiply
    134,156.63x = 181,551.94 × 181,551.94
  4. Step 4: Simplify right side
    134,156.63x = 32,961,106,010.00
  5. Step 5: Solve for x
    x = 32,961,106,010.00/134,156.63
  6. Step 6: Final answer
    x = 245,691.23

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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.