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Finding the Third Proportional to 61,416.35 and 130,213.83

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Solution

The third proportional to 61,416.35 and 130,213.83 is: 276,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416.35 : 130,213.83 = 130,213.83 : x
  2. Step 2: Convert to fraction form
    61,416.35/130,213.83 = 130,213.83/x
  3. Step 3: Cross multiply
    61,416.35x = 130,213.83 × 130,213.83
  4. Step 4: Simplify right side
    61,416.35x = 16,955,641,034.97
  5. Step 5: Solve for x
    x = 16,955,641,034.97/61,416.35
  6. Step 6: Final answer
    x = 276,076.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.