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Finding the Third Proportional to 60,817 and 90,982

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Solution

The third proportional to 60,817 and 90,982 is: 136,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,817 : 90,982 = 90,982 : x
  2. Step 2: Convert to fraction form
    60,817/90,982 = 90,982/x
  3. Step 3: Cross multiply
    60,817x = 90,982 × 90,982
  4. Step 4: Simplify right side
    60,817x = 8,277,724,324
  5. Step 5: Solve for x
    x = 8,277,724,324/60,817
  6. Step 6: Final answer
    x = 136,108.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.