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Finding the Third Proportional to 85,730 and 125,241

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Solution

The third proportional to 85,730 and 125,241 is: 182,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730 : 125,241 = 125,241 : x
  2. Step 2: Convert to fraction form
    85,730/125,241 = 125,241/x
  3. Step 3: Cross multiply
    85,730x = 125,241 × 125,241
  4. Step 4: Simplify right side
    85,730x = 15,685,308,081
  5. Step 5: Solve for x
    x = 15,685,308,081/85,730
  6. Step 6: Final answer
    x = 182,961.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.