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Finding the Third Proportional to 58,785 and 85,661

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Solution

The third proportional to 58,785 and 85,661 is: 124,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,785 : 85,661 = 85,661 : x
  2. Step 2: Convert to fraction form
    58,785/85,661 = 85,661/x
  3. Step 3: Cross multiply
    58,785x = 85,661 × 85,661
  4. Step 4: Simplify right side
    58,785x = 7,337,806,921
  5. Step 5: Solve for x
    x = 7,337,806,921/58,785
  6. Step 6: Final answer
    x = 124,824.48

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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.