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Finding the Third Proportional to 65,552 and 99,534

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Solution

The third proportional to 65,552 and 99,534 is: 151,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,552 : 99,534 = 99,534 : x
  2. Step 2: Convert to fraction form
    65,552/99,534 = 99,534/x
  3. Step 3: Cross multiply
    65,552x = 99,534 × 99,534
  4. Step 4: Simplify right side
    65,552x = 9,907,017,156
  5. Step 5: Solve for x
    x = 9,907,017,156/65,552
  6. Step 6: Final answer
    x = 151,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.