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Finding the Third Proportional to 98,215.88 and 155,763

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Solution

The third proportional to 98,215.88 and 155,763 is: 247,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,215.88 : 155,763 = 155,763 : x
  2. Step 2: Convert to fraction form
    98,215.88/155,763 = 155,763/x
  3. Step 3: Cross multiply
    98,215.88x = 155,763 × 155,763
  4. Step 4: Simplify right side
    98,215.88x = 24,262,112,169
  5. Step 5: Solve for x
    x = 24,262,112,169/98,215.88
  6. Step 6: Final answer
    x = 247,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.