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Finding the Third Proportional to 74,565 and 112,934

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Solution

The third proportional to 74,565 and 112,934 is: 171,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565 : 112,934 = 112,934 : x
  2. Step 2: Convert to fraction form
    74,565/112,934 = 112,934/x
  3. Step 3: Cross multiply
    74,565x = 112,934 × 112,934
  4. Step 4: Simplify right side
    74,565x = 12,754,088,356
  5. Step 5: Solve for x
    x = 12,754,088,356/74,565
  6. Step 6: Final answer
    x = 171,046.58

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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.