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Finding the Third Proportional to 62,688 and 96,000

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Solution

The third proportional to 62,688 and 96,000 is: 147,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,688 : 96,000 = 96,000 : x
  2. Step 2: Convert to fraction form
    62,688/96,000 = 96,000/x
  3. Step 3: Cross multiply
    62,688x = 96,000 × 96,000
  4. Step 4: Simplify right side
    62,688x = 9,216,000,000
  5. Step 5: Solve for x
    x = 9,216,000,000/62,688
  6. Step 6: Final answer
    x = 147,013.78

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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.