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Finding the Third Proportional to 58,411 and 127,879

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Solution

The third proportional to 58,411 and 127,879 is: 279,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,411 : 127,879 = 127,879 : x
  2. Step 2: Convert to fraction form
    58,411/127,879 = 127,879/x
  3. Step 3: Cross multiply
    58,411x = 127,879 × 127,879
  4. Step 4: Simplify right side
    58,411x = 16,353,038,641
  5. Step 5: Solve for x
    x = 16,353,038,641/58,411
  6. Step 6: Final answer
    x = 279,965.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.