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Finding the Third Proportional to 65,552 and 98,392

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Solution

The third proportional to 65,552 and 98,392 is: 147,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,552 : 98,392 = 98,392 : x
  2. Step 2: Convert to fraction form
    65,552/98,392 = 98,392/x
  3. Step 3: Cross multiply
    65,552x = 98,392 × 98,392
  4. Step 4: Simplify right side
    65,552x = 9,680,985,664
  5. Step 5: Solve for x
    x = 9,680,985,664/65,552
  6. Step 6: Final answer
    x = 147,684.06

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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.