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Finding the Third Proportional to 67,776 and 160,224

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Solution

The third proportional to 67,776 and 160,224 is: 378,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,776 : 160,224 = 160,224 : x
  2. Step 2: Convert to fraction form
    67,776/160,224 = 160,224/x
  3. Step 3: Cross multiply
    67,776x = 160,224 × 160,224
  4. Step 4: Simplify right side
    67,776x = 25,671,730,176
  5. Step 5: Solve for x
    x = 25,671,730,176/67,776
  6. Step 6: Final answer
    x = 378,773.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.