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Finding the Third Proportional to 62,192 and 136,046

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Solution

The third proportional to 62,192 and 136,046 is: 297,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,192 : 136,046 = 136,046 : x
  2. Step 2: Convert to fraction form
    62,192/136,046 = 136,046/x
  3. Step 3: Cross multiply
    62,192x = 136,046 × 136,046
  4. Step 4: Simplify right side
    62,192x = 18,508,514,116
  5. Step 5: Solve for x
    x = 18,508,514,116/62,192
  6. Step 6: Final answer
    x = 297,602.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.