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Finding the Third Proportional to 59,630 and 127,610

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Solution

The third proportional to 59,630 and 127,610 is: 273,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,630 : 127,610 = 127,610 : x
  2. Step 2: Convert to fraction form
    59,630/127,610 = 127,610/x
  3. Step 3: Cross multiply
    59,630x = 127,610 × 127,610
  4. Step 4: Simplify right side
    59,630x = 16,284,312,100
  5. Step 5: Solve for x
    x = 16,284,312,100/59,630
  6. Step 6: Final answer
    x = 273,089.25

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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.