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Finding the Third Proportional to 61,290.75 and 85,938.75

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Solution

The third proportional to 61,290.75 and 85,938.75 is: 120,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290.75 : 85,938.75 = 85,938.75 : x
  2. Step 2: Convert to fraction form
    61,290.75/85,938.75 = 85,938.75/x
  3. Step 3: Cross multiply
    61,290.75x = 85,938.75 × 85,938.75
  4. Step 4: Simplify right side
    61,290.75x = 7,385,468,751.56
  5. Step 5: Solve for x
    x = 7,385,468,751.56/61,290.75
  6. Step 6: Final answer
    x = 120,498.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.