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Finding the Third Proportional to 43,360 and 58,120

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Solution

The third proportional to 43,360 and 58,120 is: 77,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,360 : 58,120 = 58,120 : x
  2. Step 2: Convert to fraction form
    43,360/58,120 = 58,120/x
  3. Step 3: Cross multiply
    43,360x = 58,120 × 58,120
  4. Step 4: Simplify right side
    43,360x = 3,377,934,400
  5. Step 5: Solve for x
    x = 3,377,934,400/43,360
  6. Step 6: Final answer
    x = 77,904.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.