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Finding the Third Proportional to 89,788.50 and 140,537.53

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Solution

The third proportional to 89,788.50 and 140,537.53 is: 219,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,788.50 : 140,537.53 = 140,537.53 : x
  2. Step 2: Convert to fraction form
    89,788.50/140,537.53 = 140,537.53/x
  3. Step 3: Cross multiply
    89,788.50x = 140,537.53 × 140,537.53
  4. Step 4: Simplify right side
    89,788.50x = 19,750,797,689.84
  5. Step 5: Solve for x
    x = 19,750,797,689.84/89,788.50
  6. Step 6: Final answer
    x = 219,970.24

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Why These Related Problems?

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