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Finding the Third Proportional to 72,917 and 112,658

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Solution

The third proportional to 72,917 and 112,658 is: 174,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,917 : 112,658 = 112,658 : x
  2. Step 2: Convert to fraction form
    72,917/112,658 = 112,658/x
  3. Step 3: Cross multiply
    72,917x = 112,658 × 112,658
  4. Step 4: Simplify right side
    72,917x = 12,691,824,964
  5. Step 5: Solve for x
    x = 12,691,824,964/72,917
  6. Step 6: Final answer
    x = 174,058.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.