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Finding the Third Proportional to 88,014 and 132,442.50

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Solution

The third proportional to 88,014 and 132,442.50 is: 199,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,014 : 132,442.50 = 132,442.50 : x
  2. Step 2: Convert to fraction form
    88,014/132,442.50 = 132,442.50/x
  3. Step 3: Cross multiply
    88,014x = 132,442.50 × 132,442.50
  4. Step 4: Simplify right side
    88,014x = 17,541,015,806.25
  5. Step 5: Solve for x
    x = 17,541,015,806.25/88,014
  6. Step 6: Final answer
    x = 199,298.02

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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.