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Finding the Third Proportional to 161,541 and 237,126

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Solution

The third proportional to 161,541 and 237,126 is: 348,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,541 : 237,126 = 237,126 : x
  2. Step 2: Convert to fraction form
    161,541/237,126 = 237,126/x
  3. Step 3: Cross multiply
    161,541x = 237,126 × 237,126
  4. Step 4: Simplify right side
    161,541x = 56,228,739,876
  5. Step 5: Solve for x
    x = 56,228,739,876/161,541
  6. Step 6: Final answer
    x = 348,077.21

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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.