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Finding the Third Proportional to 61,665.75 and 94,138.88

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Solution

The third proportional to 61,665.75 and 94,138.88 is: 143,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,665.75 : 94,138.88 = 94,138.88 : x
  2. Step 2: Convert to fraction form
    61,665.75/94,138.88 = 94,138.88/x
  3. Step 3: Cross multiply
    61,665.75x = 94,138.88 × 94,138.88
  4. Step 4: Simplify right side
    61,665.75x = 8,862,127,786.27
  5. Step 5: Solve for x
    x = 8,862,127,786.27/61,665.75
  6. Step 6: Final answer
    x = 143,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.