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Finding the Third Proportional to 61,764.75 and 130,819.50

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Solution

The third proportional to 61,764.75 and 130,819.50 is: 277,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764.75 : 130,819.50 = 130,819.50 : x
  2. Step 2: Convert to fraction form
    61,764.75/130,819.50 = 130,819.50/x
  3. Step 3: Cross multiply
    61,764.75x = 130,819.50 × 130,819.50
  4. Step 4: Simplify right side
    61,764.75x = 17,113,741,580.25
  5. Step 5: Solve for x
    x = 17,113,741,580.25/61,764.75
  6. Step 6: Final answer
    x = 277,079.43

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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.