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Finding the Third Proportional to 87,076 and 193,580

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Solution

The third proportional to 87,076 and 193,580 is: 430,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,076 : 193,580 = 193,580 : x
  2. Step 2: Convert to fraction form
    87,076/193,580 = 193,580/x
  3. Step 3: Cross multiply
    87,076x = 193,580 × 193,580
  4. Step 4: Simplify right side
    87,076x = 37,473,216,400
  5. Step 5: Solve for x
    x = 37,473,216,400/87,076
  6. Step 6: Final answer
    x = 430,350.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.