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Finding the Third Proportional to 74,515.50 and 112,473

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Solution

The third proportional to 74,515.50 and 112,473 is: 169,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,515.50 : 112,473 = 112,473 : x
  2. Step 2: Convert to fraction form
    74,515.50/112,473 = 112,473/x
  3. Step 3: Cross multiply
    74,515.50x = 112,473 × 112,473
  4. Step 4: Simplify right side
    74,515.50x = 12,650,175,729
  5. Step 5: Solve for x
    x = 12,650,175,729/74,515.50
  6. Step 6: Final answer
    x = 169,765.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.