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Finding the Third Proportional to 63,352.13 and 137,656.13

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Solution

The third proportional to 63,352.13 and 137,656.13 is: 299,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,352.13 : 137,656.13 = 137,656.13 : x
  2. Step 2: Convert to fraction form
    63,352.13/137,656.13 = 137,656.13/x
  3. Step 3: Cross multiply
    63,352.13x = 137,656.13 × 137,656.13
  4. Step 4: Simplify right side
    63,352.13x = 18,949,208,750.02
  5. Step 5: Solve for x
    x = 18,949,208,750.02/63,352.13
  6. Step 6: Final answer
    x = 299,109.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.