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Finding the Third Proportional to 70,516 and 101,882

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Solution

The third proportional to 70,516 and 101,882 is: 147,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516 : 101,882 = 101,882 : x
  2. Step 2: Convert to fraction form
    70,516/101,882 = 101,882/x
  3. Step 3: Cross multiply
    70,516x = 101,882 × 101,882
  4. Step 4: Simplify right side
    70,516x = 10,379,941,924
  5. Step 5: Solve for x
    x = 10,379,941,924/70,516
  6. Step 6: Final answer
    x = 147,199.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.