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Finding the Third Proportional to 101,545.31 and 157,869

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Solution

The third proportional to 101,545.31 and 157,869 is: 245,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,545.31 : 157,869 = 157,869 : x
  2. Step 2: Convert to fraction form
    101,545.31/157,869 = 157,869/x
  3. Step 3: Cross multiply
    101,545.31x = 157,869 × 157,869
  4. Step 4: Simplify right side
    101,545.31x = 24,922,621,161
  5. Step 5: Solve for x
    x = 24,922,621,161/101,545.31
  6. Step 6: Final answer
    x = 245,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.