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Finding the Third Proportional to 71,238 and 110,746

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Solution

The third proportional to 71,238 and 110,746 is: 172,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,238 : 110,746 = 110,746 : x
  2. Step 2: Convert to fraction form
    71,238/110,746 = 110,746/x
  3. Step 3: Cross multiply
    71,238x = 110,746 × 110,746
  4. Step 4: Simplify right side
    71,238x = 12,264,676,516
  5. Step 5: Solve for x
    x = 12,264,676,516/71,238
  6. Step 6: Final answer
    x = 172,164.81

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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.