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Finding the Third Proportional to 58,086 and 125,829

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Solution

The third proportional to 58,086 and 125,829 is: 272,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,086 : 125,829 = 125,829 : x
  2. Step 2: Convert to fraction form
    58,086/125,829 = 125,829/x
  3. Step 3: Cross multiply
    58,086x = 125,829 × 125,829
  4. Step 4: Simplify right side
    58,086x = 15,832,937,241
  5. Step 5: Solve for x
    x = 15,832,937,241/58,086
  6. Step 6: Final answer
    x = 272,577.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.