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Finding the Third Proportional to 107,112 and 160,344

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Solution

The third proportional to 107,112 and 160,344 is: 240,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112 : 160,344 = 160,344 : x
  2. Step 2: Convert to fraction form
    107,112/160,344 = 160,344/x
  3. Step 3: Cross multiply
    107,112x = 160,344 × 160,344
  4. Step 4: Simplify right side
    107,112x = 25,710,198,336
  5. Step 5: Solve for x
    x = 25,710,198,336/107,112
  6. Step 6: Final answer
    x = 240,030.98

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Why These Related Problems?

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