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Finding the Third Proportional to 107,306 and 160,392

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Solution

The third proportional to 107,306 and 160,392 is: 239,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,306 : 160,392 = 160,392 : x
  2. Step 2: Convert to fraction form
    107,306/160,392 = 160,392/x
  3. Step 3: Cross multiply
    107,306x = 160,392 × 160,392
  4. Step 4: Simplify right side
    107,306x = 25,725,593,664
  5. Step 5: Solve for x
    x = 25,725,593,664/107,306
  6. Step 6: Final answer
    x = 239,740.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.