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Finding the Third Proportional to 62,400 and 94,272

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Solution

The third proportional to 62,400 and 94,272 is: 142,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,400 : 94,272 = 94,272 : x
  2. Step 2: Convert to fraction form
    62,400/94,272 = 94,272/x
  3. Step 3: Cross multiply
    62,400x = 94,272 × 94,272
  4. Step 4: Simplify right side
    62,400x = 8,887,209,984
  5. Step 5: Solve for x
    x = 8,887,209,984/62,400
  6. Step 6: Final answer
    x = 142,423.24

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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.