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Finding the Third Proportional to 62,160 and 95,328

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Solution

The third proportional to 62,160 and 95,328 is: 146,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,160 : 95,328 = 95,328 : x
  2. Step 2: Convert to fraction form
    62,160/95,328 = 95,328/x
  3. Step 3: Cross multiply
    62,160x = 95,328 × 95,328
  4. Step 4: Simplify right side
    62,160x = 9,087,427,584
  5. Step 5: Solve for x
    x = 9,087,427,584/62,160
  6. Step 6: Final answer
    x = 146,194.14

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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.