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Finding the Third Proportional to 75,854 and 109,261

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Solution

The third proportional to 75,854 and 109,261 is: 157,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,854 : 109,261 = 109,261 : x
  2. Step 2: Convert to fraction form
    75,854/109,261 = 109,261/x
  3. Step 3: Cross multiply
    75,854x = 109,261 × 109,261
  4. Step 4: Simplify right side
    75,854x = 11,937,966,121
  5. Step 5: Solve for x
    x = 11,937,966,121/75,854
  6. Step 6: Final answer
    x = 157,380.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.