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Finding the Third Proportional to 64,397.50 and 138,317

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Solution

The third proportional to 64,397.50 and 138,317 is: 297,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,397.50 : 138,317 = 138,317 : x
  2. Step 2: Convert to fraction form
    64,397.50/138,317 = 138,317/x
  3. Step 3: Cross multiply
    64,397.50x = 138,317 × 138,317
  4. Step 4: Simplify right side
    64,397.50x = 19,131,592,489
  5. Step 5: Solve for x
    x = 19,131,592,489/64,397.50
  6. Step 6: Final answer
    x = 297,085.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.