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Finding the Third Proportional to 58,756 and 88,264

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Solution

The third proportional to 58,756 and 88,264 is: 132,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,756 : 88,264 = 88,264 : x
  2. Step 2: Convert to fraction form
    58,756/88,264 = 88,264/x
  3. Step 3: Cross multiply
    58,756x = 88,264 × 88,264
  4. Step 4: Simplify right side
    58,756x = 7,790,533,696
  5. Step 5: Solve for x
    x = 7,790,533,696/58,756
  6. Step 6: Final answer
    x = 132,591.29

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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.