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Finding the Third Proportional to 67,776 and 145,344

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Solution

The third proportional to 67,776 and 145,344 is: 311,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,776 : 145,344 = 145,344 : x
  2. Step 2: Convert to fraction form
    67,776/145,344 = 145,344/x
  3. Step 3: Cross multiply
    67,776x = 145,344 × 145,344
  4. Step 4: Simplify right side
    67,776x = 21,124,878,336
  5. Step 5: Solve for x
    x = 21,124,878,336/67,776
  6. Step 6: Final answer
    x = 311,686.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.