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Finding the Third Proportional to 58,521 and 138,060.75

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Solution

The third proportional to 58,521 and 138,060.75 is: 325,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,521 : 138,060.75 = 138,060.75 : x
  2. Step 2: Convert to fraction form
    58,521/138,060.75 = 138,060.75/x
  3. Step 3: Cross multiply
    58,521x = 138,060.75 × 138,060.75
  4. Step 4: Simplify right side
    58,521x = 19,060,770,690.56
  5. Step 5: Solve for x
    x = 19,060,770,690.56/58,521
  6. Step 6: Final answer
    x = 325,708.22

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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.