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Finding the Third Proportional to 52,045 and 82,331

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Solution

The third proportional to 52,045 and 82,331 is: 130,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045 : 82,331 = 82,331 : x
  2. Step 2: Convert to fraction form
    52,045/82,331 = 82,331/x
  3. Step 3: Cross multiply
    52,045x = 82,331 × 82,331
  4. Step 4: Simplify right side
    52,045x = 6,778,393,561
  5. Step 5: Solve for x
    x = 6,778,393,561/52,045
  6. Step 6: Final answer
    x = 130,241.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.