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Finding the Third Proportional to 138,652.50 and 198,135

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Solution

The third proportional to 138,652.50 and 198,135 is: 283,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.50 : 198,135 = 198,135 : x
  2. Step 2: Convert to fraction form
    138,652.50/198,135 = 198,135/x
  3. Step 3: Cross multiply
    138,652.50x = 198,135 × 198,135
  4. Step 4: Simplify right side
    138,652.50x = 39,257,478,225
  5. Step 5: Solve for x
    x = 39,257,478,225/138,652.50
  6. Step 6: Final answer
    x = 283,135.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.