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Finding the Third Proportional to 58,092 and 87,570

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Solution

The third proportional to 58,092 and 87,570 is: 132,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,092 : 87,570 = 87,570 : x
  2. Step 2: Convert to fraction form
    58,092/87,570 = 87,570/x
  3. Step 3: Cross multiply
    58,092x = 87,570 × 87,570
  4. Step 4: Simplify right side
    58,092x = 7,668,504,900
  5. Step 5: Solve for x
    x = 7,668,504,900/58,092
  6. Step 6: Final answer
    x = 132,006.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.