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Finding the Third Proportional to 60,470.25 and 95,343.75

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Solution

The third proportional to 60,470.25 and 95,343.75 is: 150,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,470.25 : 95,343.75 = 95,343.75 : x
  2. Step 2: Convert to fraction form
    60,470.25/95,343.75 = 95,343.75/x
  3. Step 3: Cross multiply
    60,470.25x = 95,343.75 × 95,343.75
  4. Step 4: Simplify right side
    60,470.25x = 9,090,430,664.06
  5. Step 5: Solve for x
    x = 9,090,430,664.06/60,470.25
  6. Step 6: Final answer
    x = 150,328.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.