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Finding the Third Proportional to 71,354 and 109,718

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Solution

The third proportional to 71,354 and 109,718 is: 168,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354 : 109,718 = 109,718 : x
  2. Step 2: Convert to fraction form
    71,354/109,718 = 109,718/x
  3. Step 3: Cross multiply
    71,354x = 109,718 × 109,718
  4. Step 4: Simplify right side
    71,354x = 12,038,039,524
  5. Step 5: Solve for x
    x = 12,038,039,524/71,354
  6. Step 6: Final answer
    x = 168,708.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.