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Finding the Third Proportional to 127.13 and 177.05

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Solution

The third proportional to 127.13 and 177.05 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 177.05 = 177.05 : x
  2. Step 2: Convert to fraction form
    127.13/177.05 = 177.05/x
  3. Step 3: Cross multiply
    127.13x = 177.05 × 177.05
  4. Step 4: Simplify right side
    127.13x = 31,345.60
  5. Step 5: Solve for x
    x = 31,345.60/127.13
  6. Step 6: Final answer
    x = 246.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.