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Finding the Third Proportional to 66,909.75 and 147,127.13

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Solution

The third proportional to 66,909.75 and 147,127.13 is: 323,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,909.75 : 147,127.13 = 147,127.13 : x
  2. Step 2: Convert to fraction form
    66,909.75/147,127.13 = 147,127.13/x
  3. Step 3: Cross multiply
    66,909.75x = 147,127.13 × 147,127.13
  4. Step 4: Simplify right side
    66,909.75x = 21,646,390,910.77
  5. Step 5: Solve for x
    x = 21,646,390,910.77/66,909.75
  6. Step 6: Final answer
    x = 323,516.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.