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Finding the Third Proportional to 71,998 and 112,073

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Solution

The third proportional to 71,998 and 112,073 is: 174,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998 : 112,073 = 112,073 : x
  2. Step 2: Convert to fraction form
    71,998/112,073 = 112,073/x
  3. Step 3: Cross multiply
    71,998x = 112,073 × 112,073
  4. Step 4: Simplify right side
    71,998x = 12,560,357,329
  5. Step 5: Solve for x
    x = 12,560,357,329/71,998
  6. Step 6: Final answer
    x = 174,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.