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Finding the Third Proportional to 56,778.47 and 77,143.01

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Solution

The third proportional to 56,778.47 and 77,143.01 is: 104,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,778.47 : 77,143.01 = 77,143.01 : x
  2. Step 2: Convert to fraction form
    56,778.47/77,143.01 = 77,143.01/x
  3. Step 3: Cross multiply
    56,778.47x = 77,143.01 × 77,143.01
  4. Step 4: Simplify right side
    56,778.47x = 5,951,043,654.36
  5. Step 5: Solve for x
    x = 5,951,043,654.36/56,778.47
  6. Step 6: Final answer
    x = 104,811.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.