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Finding the Third Proportional to 63,702 and 134,988

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Solution

The third proportional to 63,702 and 134,988 is: 286,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,702 : 134,988 = 134,988 : x
  2. Step 2: Convert to fraction form
    63,702/134,988 = 134,988/x
  3. Step 3: Cross multiply
    63,702x = 134,988 × 134,988
  4. Step 4: Simplify right side
    63,702x = 18,221,760,144
  5. Step 5: Solve for x
    x = 18,221,760,144/63,702
  6. Step 6: Final answer
    x = 286,046.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.