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Finding the Third Proportional to 80,688 and 187,500

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Solution

The third proportional to 80,688 and 187,500 is: 435,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,688 : 187,500 = 187,500 : x
  2. Step 2: Convert to fraction form
    80,688/187,500 = 187,500/x
  3. Step 3: Cross multiply
    80,688x = 187,500 × 187,500
  4. Step 4: Simplify right side
    80,688x = 35,156,250,000
  5. Step 5: Solve for x
    x = 35,156,250,000/80,688
  6. Step 6: Final answer
    x = 435,706.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.