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Finding the Third Proportional to 62,416 and 94,296

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Solution

The third proportional to 62,416 and 94,296 is: 142,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,416 : 94,296 = 94,296 : x
  2. Step 2: Convert to fraction form
    62,416/94,296 = 94,296/x
  3. Step 3: Cross multiply
    62,416x = 94,296 × 94,296
  4. Step 4: Simplify right side
    62,416x = 8,891,735,616
  5. Step 5: Solve for x
    x = 8,891,735,616/62,416
  6. Step 6: Final answer
    x = 142,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.