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Finding the Third Proportional to 104,098.50 and 155,722.50

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Solution

The third proportional to 104,098.50 and 155,722.50 is: 232,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098.50 : 155,722.50 = 155,722.50 : x
  2. Step 2: Convert to fraction form
    104,098.50/155,722.50 = 155,722.50/x
  3. Step 3: Cross multiply
    104,098.50x = 155,722.50 × 155,722.50
  4. Step 4: Simplify right side
    104,098.50x = 24,249,497,006.25
  5. Step 5: Solve for x
    x = 24,249,497,006.25/104,098.50
  6. Step 6: Final answer
    x = 232,947.61

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Why These Related Problems?

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