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Finding the Third Proportional to 58,633 and 138,272

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Solution

The third proportional to 58,633 and 138,272 is: 326,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,633 : 138,272 = 138,272 : x
  2. Step 2: Convert to fraction form
    58,633/138,272 = 138,272/x
  3. Step 3: Cross multiply
    58,633x = 138,272 × 138,272
  4. Step 4: Simplify right side
    58,633x = 19,119,145,984
  5. Step 5: Solve for x
    x = 19,119,145,984/58,633
  6. Step 6: Final answer
    x = 326,081.66

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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.