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Finding the Third Proportional to 58,766 and 88,278

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Solution

The third proportional to 58,766 and 88,278 is: 132,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,766 : 88,278 = 88,278 : x
  2. Step 2: Convert to fraction form
    58,766/88,278 = 88,278/x
  3. Step 3: Cross multiply
    58,766x = 88,278 × 88,278
  4. Step 4: Simplify right side
    58,766x = 7,793,005,284
  5. Step 5: Solve for x
    x = 7,793,005,284/58,766
  6. Step 6: Final answer
    x = 132,610.78

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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.