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Finding the Third Proportional to 138,003.75 and 202,461.19

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Solution

The third proportional to 138,003.75 and 202,461.19 is: 297,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003.75 : 202,461.19 = 202,461.19 : x
  2. Step 2: Convert to fraction form
    138,003.75/202,461.19 = 202,461.19/x
  3. Step 3: Cross multiply
    138,003.75x = 202,461.19 × 202,461.19
  4. Step 4: Simplify right side
    138,003.75x = 40,990,532,443.91
  5. Step 5: Solve for x
    x = 40,990,532,443.91/138,003.75
  6. Step 6: Final answer
    x = 297,024.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.