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Finding the Third Proportional to 77,562.56 and 119,858.06

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Solution

The third proportional to 77,562.56 and 119,858.06 is: 185,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562.56 : 119,858.06 = 119,858.06 : x
  2. Step 2: Convert to fraction form
    77,562.56/119,858.06 = 119,858.06/x
  3. Step 3: Cross multiply
    77,562.56x = 119,858.06 × 119,858.06
  4. Step 4: Simplify right side
    77,562.56x = 14,365,955,146.25
  5. Step 5: Solve for x
    x = 14,365,955,146.25/77,562.56
  6. Step 6: Final answer
    x = 185,217.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.