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Finding the Third Proportional to 85,510.69 and 134,139.80

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Solution

The third proportional to 85,510.69 and 134,139.80 is: 210,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.69 : 134,139.80 = 134,139.80 : x
  2. Step 2: Convert to fraction form
    85,510.69/134,139.80 = 134,139.80/x
  3. Step 3: Cross multiply
    85,510.69x = 134,139.80 × 134,139.80
  4. Step 4: Simplify right side
    85,510.69x = 17,993,485,105.67
  5. Step 5: Solve for x
    x = 17,993,485,105.67/85,510.69
  6. Step 6: Final answer
    x = 210,423.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.