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Finding the Third Proportional to 57,510 and 137,214

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Solution

The third proportional to 57,510 and 137,214 is: 327,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510 : 137,214 = 137,214 : x
  2. Step 2: Convert to fraction form
    57,510/137,214 = 137,214/x
  3. Step 3: Cross multiply
    57,510x = 137,214 × 137,214
  4. Step 4: Simplify right side
    57,510x = 18,827,681,796
  5. Step 5: Solve for x
    x = 18,827,681,796/57,510
  6. Step 6: Final answer
    x = 327,381.01

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.