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Finding the Third Proportional to 61,595 and 85,817.50

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Solution

The third proportional to 61,595 and 85,817.50 is: 119,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,595 : 85,817.50 = 85,817.50 : x
  2. Step 2: Convert to fraction form
    61,595/85,817.50 = 85,817.50/x
  3. Step 3: Cross multiply
    61,595x = 85,817.50 × 85,817.50
  4. Step 4: Simplify right side
    61,595x = 7,364,643,306.25
  5. Step 5: Solve for x
    x = 7,364,643,306.25/61,595
  6. Step 6: Final answer
    x = 119,565.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.