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Finding the Third Proportional to 70,292 and 109,254

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Solution

The third proportional to 70,292 and 109,254 is: 169,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,292 : 109,254 = 109,254 : x
  2. Step 2: Convert to fraction form
    70,292/109,254 = 109,254/x
  3. Step 3: Cross multiply
    70,292x = 109,254 × 109,254
  4. Step 4: Simplify right side
    70,292x = 11,936,436,516
  5. Step 5: Solve for x
    x = 11,936,436,516/70,292
  6. Step 6: Final answer
    x = 169,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.