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Finding the Third Proportional to 58,646 and 138,302

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Solution

The third proportional to 58,646 and 138,302 is: 326,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,646 : 138,302 = 138,302 : x
  2. Step 2: Convert to fraction form
    58,646/138,302 = 138,302/x
  3. Step 3: Cross multiply
    58,646x = 138,302 × 138,302
  4. Step 4: Simplify right side
    58,646x = 19,127,443,204
  5. Step 5: Solve for x
    x = 19,127,443,204/58,646
  6. Step 6: Final answer
    x = 326,150.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.