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Finding the Third Proportional to 58,674 and 88,292

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Solution

The third proportional to 58,674 and 88,292 is: 132,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,674 : 88,292 = 88,292 : x
  2. Step 2: Convert to fraction form
    58,674/88,292 = 88,292/x
  3. Step 3: Cross multiply
    58,674x = 88,292 × 88,292
  4. Step 4: Simplify right side
    58,674x = 7,795,477,264
  5. Step 5: Solve for x
    x = 7,795,477,264/58,674
  6. Step 6: Final answer
    x = 132,860.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.