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Finding the Third Proportional to 132,042 and 198,697.50

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Solution

The third proportional to 132,042 and 198,697.50 is: 299,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042 : 198,697.50 = 198,697.50 : x
  2. Step 2: Convert to fraction form
    132,042/198,697.50 = 198,697.50/x
  3. Step 3: Cross multiply
    132,042x = 198,697.50 × 198,697.50
  4. Step 4: Simplify right side
    132,042x = 39,480,696,506.25
  5. Step 5: Solve for x
    x = 39,480,696,506.25/132,042
  6. Step 6: Final answer
    x = 299,001.05

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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.