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Finding the Third Proportional to 64,417.50 and 137,394

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Solution

The third proportional to 64,417.50 and 137,394 is: 293,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,417.50 : 137,394 = 137,394 : x
  2. Step 2: Convert to fraction form
    64,417.50/137,394 = 137,394/x
  3. Step 3: Cross multiply
    64,417.50x = 137,394 × 137,394
  4. Step 4: Simplify right side
    64,417.50x = 18,877,111,236
  5. Step 5: Solve for x
    x = 18,877,111,236/64,417.50
  6. Step 6: Final answer
    x = 293,043.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.