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Finding the Third Proportional to 74,742 and 112,329

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Solution

The third proportional to 74,742 and 112,329 is: 168,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742 : 112,329 = 112,329 : x
  2. Step 2: Convert to fraction form
    74,742/112,329 = 112,329/x
  3. Step 3: Cross multiply
    74,742x = 112,329 × 112,329
  4. Step 4: Simplify right side
    74,742x = 12,617,804,241
  5. Step 5: Solve for x
    x = 12,617,804,241/74,742
  6. Step 6: Final answer
    x = 168,818.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.