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Finding the Third Proportional to 62,208 and 95,160

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Solution

The third proportional to 62,208 and 95,160 is: 145,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,208 : 95,160 = 95,160 : x
  2. Step 2: Convert to fraction form
    62,208/95,160 = 95,160/x
  3. Step 3: Cross multiply
    62,208x = 95,160 × 95,160
  4. Step 4: Simplify right side
    62,208x = 9,055,425,600
  5. Step 5: Solve for x
    x = 9,055,425,600/62,208
  6. Step 6: Final answer
    x = 145,566.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.