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Finding the Third Proportional to 120,472 and 160,998

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Solution

The third proportional to 120,472 and 160,998 is: 215,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,472 : 160,998 = 160,998 : x
  2. Step 2: Convert to fraction form
    120,472/160,998 = 160,998/x
  3. Step 3: Cross multiply
    120,472x = 160,998 × 160,998
  4. Step 4: Simplify right side
    120,472x = 25,920,356,004
  5. Step 5: Solve for x
    x = 25,920,356,004/120,472
  6. Step 6: Final answer
    x = 215,156.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.