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Finding the Third Proportional to 58,851.75 and 129,580.13

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Solution

The third proportional to 58,851.75 and 129,580.13 is: 285,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,851.75 : 129,580.13 = 129,580.13 : x
  2. Step 2: Convert to fraction form
    58,851.75/129,580.13 = 129,580.13/x
  3. Step 3: Cross multiply
    58,851.75x = 129,580.13 × 129,580.13
  4. Step 4: Simplify right side
    58,851.75x = 16,791,008,795.02
  5. Step 5: Solve for x
    x = 16,791,008,795.02/58,851.75
  6. Step 6: Final answer
    x = 285,310.27

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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.