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Finding the Third Proportional to 58,677.75 and 129,016.13

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Solution

The third proportional to 58,677.75 and 129,016.13 is: 283,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,677.75 : 129,016.13 = 129,016.13 : x
  2. Step 2: Convert to fraction form
    58,677.75/129,016.13 = 129,016.13/x
  3. Step 3: Cross multiply
    58,677.75x = 129,016.13 × 129,016.13
  4. Step 4: Simplify right side
    58,677.75x = 16,645,160,510.02
  5. Step 5: Solve for x
    x = 16,645,160,510.02/58,677.75
  6. Step 6: Final answer
    x = 283,670.74

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Why These Related Problems?

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