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Finding the Third Proportional to 112,098 and 171,402

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Solution

The third proportional to 112,098 and 171,402 is: 262,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,098 : 171,402 = 171,402 : x
  2. Step 2: Convert to fraction form
    112,098/171,402 = 171,402/x
  3. Step 3: Cross multiply
    112,098x = 171,402 × 171,402
  4. Step 4: Simplify right side
    112,098x = 29,378,645,604
  5. Step 5: Solve for x
    x = 29,378,645,604/112,098
  6. Step 6: Final answer
    x = 262,080.02

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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.