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Finding the Third Proportional to 75,348 and 112,788

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Solution

The third proportional to 75,348 and 112,788 is: 168,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348 : 112,788 = 112,788 : x
  2. Step 2: Convert to fraction form
    75,348/112,788 = 112,788/x
  3. Step 3: Cross multiply
    75,348x = 112,788 × 112,788
  4. Step 4: Simplify right side
    75,348x = 12,721,132,944
  5. Step 5: Solve for x
    x = 12,721,132,944/75,348
  6. Step 6: Final answer
    x = 168,831.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.