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Finding the Third Proportional to 58,396 and 120,940

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Solution

The third proportional to 58,396 and 120,940 is: 250,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,396 : 120,940 = 120,940 : x
  2. Step 2: Convert to fraction form
    58,396/120,940 = 120,940/x
  3. Step 3: Cross multiply
    58,396x = 120,940 × 120,940
  4. Step 4: Simplify right side
    58,396x = 14,626,483,600
  5. Step 5: Solve for x
    x = 14,626,483,600/58,396
  6. Step 6: Final answer
    x = 250,470.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.