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Finding the Third Proportional to 85,510.69 and 187,439.06

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Solution

The third proportional to 85,510.69 and 187,439.06 is: 410,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.69 : 187,439.06 = 187,439.06 : x
  2. Step 2: Convert to fraction form
    85,510.69/187,439.06 = 187,439.06/x
  3. Step 3: Cross multiply
    85,510.69x = 187,439.06 × 187,439.06
  4. Step 4: Simplify right side
    85,510.69x = 35,133,402,150.88
  5. Step 5: Solve for x
    x = 35,133,402,150.88/85,510.69
  6. Step 6: Final answer
    x = 410,865.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.