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Finding the Third Proportional to 60,238 and 91,586

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Solution

The third proportional to 60,238 and 91,586 is: 139,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,238 : 91,586 = 91,586 : x
  2. Step 2: Convert to fraction form
    60,238/91,586 = 91,586/x
  3. Step 3: Cross multiply
    60,238x = 91,586 × 91,586
  4. Step 4: Simplify right side
    60,238x = 8,387,995,396
  5. Step 5: Solve for x
    x = 8,387,995,396/60,238
  6. Step 6: Final answer
    x = 139,247.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.