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Finding the Third Proportional to 63,464 and 137,869.50

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Solution

The third proportional to 63,464 and 137,869.50 is: 299,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,464 : 137,869.50 = 137,869.50 : x
  2. Step 2: Convert to fraction form
    63,464/137,869.50 = 137,869.50/x
  3. Step 3: Cross multiply
    63,464x = 137,869.50 × 137,869.50
  4. Step 4: Simplify right side
    63,464x = 19,007,999,030.25
  5. Step 5: Solve for x
    x = 19,007,999,030.25/63,464
  6. Step 6: Final answer
    x = 299,508.37

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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.