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Finding the Third Proportional to 59,595.75 and 85,677.75

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Solution

The third proportional to 59,595.75 and 85,677.75 is: 123,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,595.75 : 85,677.75 = 85,677.75 : x
  2. Step 2: Convert to fraction form
    59,595.75/85,677.75 = 85,677.75/x
  3. Step 3: Cross multiply
    59,595.75x = 85,677.75 × 85,677.75
  4. Step 4: Simplify right side
    59,595.75x = 7,340,676,845.06
  5. Step 5: Solve for x
    x = 7,340,676,845.06/59,595.75
  6. Step 6: Final answer
    x = 123,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.