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Finding the Third Proportional to 74,942 and 112,908

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Solution

The third proportional to 74,942 and 112,908 is: 170,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942 : 112,908 = 112,908 : x
  2. Step 2: Convert to fraction form
    74,942/112,908 = 112,908/x
  3. Step 3: Cross multiply
    74,942x = 112,908 × 112,908
  4. Step 4: Simplify right side
    74,942x = 12,748,216,464
  5. Step 5: Solve for x
    x = 12,748,216,464/74,942
  6. Step 6: Final answer
    x = 170,107.77

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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.