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Finding the Third Proportional to 58,860 and 83,850

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Solution

The third proportional to 58,860 and 83,850 is: 119,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,860 : 83,850 = 83,850 : x
  2. Step 2: Convert to fraction form
    58,860/83,850 = 83,850/x
  3. Step 3: Cross multiply
    58,860x = 83,850 × 83,850
  4. Step 4: Simplify right side
    58,860x = 7,030,822,500
  5. Step 5: Solve for x
    x = 7,030,822,500/58,860
  6. Step 6: Final answer
    x = 119,449.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.