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Finding the Third Proportional to 58,120 and 89,809

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Solution

The third proportional to 58,120 and 89,809 is: 138,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,120 : 89,809 = 89,809 : x
  2. Step 2: Convert to fraction form
    58,120/89,809 = 89,809/x
  3. Step 3: Cross multiply
    58,120x = 89,809 × 89,809
  4. Step 4: Simplify right side
    58,120x = 8,065,656,481
  5. Step 5: Solve for x
    x = 8,065,656,481/58,120
  6. Step 6: Final answer
    x = 138,775.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.