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Finding the Third Proportional to 59,121 and 127,719

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Solution

The third proportional to 59,121 and 127,719 is: 275,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 127,719 = 127,719 : x
  2. Step 2: Convert to fraction form
    59,121/127,719 = 127,719/x
  3. Step 3: Cross multiply
    59,121x = 127,719 × 127,719
  4. Step 4: Simplify right side
    59,121x = 16,312,142,961
  5. Step 5: Solve for x
    x = 16,312,142,961/59,121
  6. Step 6: Final answer
    x = 275,911.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.