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Finding the Third Proportional to 123.13 and 177.88

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Solution

The third proportional to 123.13 and 177.88 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.13 : 177.88 = 177.88 : x
  2. Step 2: Convert to fraction form
    123.13/177.88 = 177.88/x
  3. Step 3: Cross multiply
    123.13x = 177.88 × 177.88
  4. Step 4: Simplify right side
    123.13x = 31,639.52
  5. Step 5: Solve for x
    x = 31,639.52/123.13
  6. Step 6: Final answer
    x = 256.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.