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Finding the Third Proportional to 65,002.50 and 127,251

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Solution

The third proportional to 65,002.50 and 127,251 is: 249,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.50 : 127,251 = 127,251 : x
  2. Step 2: Convert to fraction form
    65,002.50/127,251 = 127,251/x
  3. Step 3: Cross multiply
    65,002.50x = 127,251 × 127,251
  4. Step 4: Simplify right side
    65,002.50x = 16,192,817,001
  5. Step 5: Solve for x
    x = 16,192,817,001/65,002.50
  6. Step 6: Final answer
    x = 249,110.68

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.