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Finding the Third Proportional to 85,904 and 129,017.50

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Solution

The third proportional to 85,904 and 129,017.50 is: 193,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 129,017.50 = 129,017.50 : x
  2. Step 2: Convert to fraction form
    85,904/129,017.50 = 129,017.50/x
  3. Step 3: Cross multiply
    85,904x = 129,017.50 × 129,017.50
  4. Step 4: Simplify right side
    85,904x = 16,645,515,306.25
  5. Step 5: Solve for x
    x = 16,645,515,306.25/85,904
  6. Step 6: Final answer
    x = 193,768.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.