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Finding the Third Proportional to 73,641 and 160,403

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Solution

The third proportional to 73,641 and 160,403 is: 349,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,641 : 160,403 = 160,403 : x
  2. Step 2: Convert to fraction form
    73,641/160,403 = 160,403/x
  3. Step 3: Cross multiply
    73,641x = 160,403 × 160,403
  4. Step 4: Simplify right side
    73,641x = 25,729,122,409
  5. Step 5: Solve for x
    x = 25,729,122,409/73,641
  6. Step 6: Final answer
    x = 349,385.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.