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Finding the Third Proportional to 55,470.38 and 121,500

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Solution

The third proportional to 55,470.38 and 121,500 is: 266,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,470.38 : 121,500 = 121,500 : x
  2. Step 2: Convert to fraction form
    55,470.38/121,500 = 121,500/x
  3. Step 3: Cross multiply
    55,470.38x = 121,500 × 121,500
  4. Step 4: Simplify right side
    55,470.38x = 14,762,250,000
  5. Step 5: Solve for x
    x = 14,762,250,000/55,470.38
  6. Step 6: Final answer
    x = 266,128.54

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