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Finding the Third Proportional to 74,747 and 112,434

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Solution

The third proportional to 74,747 and 112,434 is: 169,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,747 : 112,434 = 112,434 : x
  2. Step 2: Convert to fraction form
    74,747/112,434 = 112,434/x
  3. Step 3: Cross multiply
    74,747x = 112,434 × 112,434
  4. Step 4: Simplify right side
    74,747x = 12,641,404,356
  5. Step 5: Solve for x
    x = 12,641,404,356/74,747
  6. Step 6: Final answer
    x = 169,122.56

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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.