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Finding the Third Proportional to 52,474 and 97,298

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Solution

The third proportional to 52,474 and 97,298 is: 180,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474 : 97,298 = 97,298 : x
  2. Step 2: Convert to fraction form
    52,474/97,298 = 97,298/x
  3. Step 3: Cross multiply
    52,474x = 97,298 × 97,298
  4. Step 4: Simplify right side
    52,474x = 9,466,900,804
  5. Step 5: Solve for x
    x = 9,466,900,804/52,474
  6. Step 6: Final answer
    x = 180,411.27

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.