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Finding the Third Proportional to 62,868 and 85,432

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Solution

The third proportional to 62,868 and 85,432 is: 116,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,868 : 85,432 = 85,432 : x
  2. Step 2: Convert to fraction form
    62,868/85,432 = 85,432/x
  3. Step 3: Cross multiply
    62,868x = 85,432 × 85,432
  4. Step 4: Simplify right side
    62,868x = 7,298,626,624
  5. Step 5: Solve for x
    x = 7,298,626,624/62,868
  6. Step 6: Final answer
    x = 116,094.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.