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Finding the Third Proportional to 85,870.13 and 131,368.50

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Solution

The third proportional to 85,870.13 and 131,368.50 is: 200,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 131,368.50 = 131,368.50 : x
  2. Step 2: Convert to fraction form
    85,870.13/131,368.50 = 131,368.50/x
  3. Step 3: Cross multiply
    85,870.13x = 131,368.50 × 131,368.50
  4. Step 4: Simplify right side
    85,870.13x = 17,257,682,792.25
  5. Step 5: Solve for x
    x = 17,257,682,792.25/85,870.13
  6. Step 6: Final answer
    x = 200,974.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.