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Finding the Third Proportional to 59,934 and 130,120

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Solution

The third proportional to 59,934 and 130,120 is: 282,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,934 : 130,120 = 130,120 : x
  2. Step 2: Convert to fraction form
    59,934/130,120 = 130,120/x
  3. Step 3: Cross multiply
    59,934x = 130,120 × 130,120
  4. Step 4: Simplify right side
    59,934x = 16,931,214,400
  5. Step 5: Solve for x
    x = 16,931,214,400/59,934
  6. Step 6: Final answer
    x = 282,497.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.