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Finding the Third Proportional to 74,514 and 161,646

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Solution

The third proportional to 74,514 and 161,646 is: 350,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,514 : 161,646 = 161,646 : x
  2. Step 2: Convert to fraction form
    74,514/161,646 = 161,646/x
  3. Step 3: Cross multiply
    74,514x = 161,646 × 161,646
  4. Step 4: Simplify right side
    74,514x = 26,129,429,316
  5. Step 5: Solve for x
    x = 26,129,429,316/74,514
  6. Step 6: Final answer
    x = 350,664.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.