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Finding the Third Proportional to 134,281.50 and 181,725.75

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Solution

The third proportional to 134,281.50 and 181,725.75 is: 245,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,281.50 : 181,725.75 = 181,725.75 : x
  2. Step 2: Convert to fraction form
    134,281.50/181,725.75 = 181,725.75/x
  3. Step 3: Cross multiply
    134,281.50x = 181,725.75 × 181,725.75
  4. Step 4: Simplify right side
    134,281.50x = 33,024,248,213.06
  5. Step 5: Solve for x
    x = 33,024,248,213.06/134,281.50
  6. Step 6: Final answer
    x = 245,932.97

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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.