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Finding the Third Proportional to 59,300 and 127,074

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Solution

The third proportional to 59,300 and 127,074 is: 272,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,300 : 127,074 = 127,074 : x
  2. Step 2: Convert to fraction form
    59,300/127,074 = 127,074/x
  3. Step 3: Cross multiply
    59,300x = 127,074 × 127,074
  4. Step 4: Simplify right side
    59,300x = 16,147,801,476
  5. Step 5: Solve for x
    x = 16,147,801,476/59,300
  6. Step 6: Final answer
    x = 272,306.94

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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.