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Finding the Third Proportional to 75,871 and 109,294

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Solution

The third proportional to 75,871 and 109,294 is: 157,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871 : 109,294 = 109,294 : x
  2. Step 2: Convert to fraction form
    75,871/109,294 = 109,294/x
  3. Step 3: Cross multiply
    75,871x = 109,294 × 109,294
  4. Step 4: Simplify right side
    75,871x = 11,945,178,436
  5. Step 5: Solve for x
    x = 11,945,178,436/75,871
  6. Step 6: Final answer
    x = 157,440.64

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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.