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Finding the Third Proportional to 63,495 and 137,937.38

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Solution

The third proportional to 63,495 and 137,937.38 is: 299,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,495 : 137,937.38 = 137,937.38 : x
  2. Step 2: Convert to fraction form
    63,495/137,937.38 = 137,937.38/x
  3. Step 3: Cross multiply
    63,495x = 137,937.38 × 137,937.38
  4. Step 4: Simplify right side
    63,495x = 19,026,719,421.89
  5. Step 5: Solve for x
    x = 19,026,719,421.89/63,495
  6. Step 6: Final answer
    x = 299,656.97

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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.