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Finding the Third Proportional to 58,344 and 124,683

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Solution

The third proportional to 58,344 and 124,683 is: 266,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,344 : 124,683 = 124,683 : x
  2. Step 2: Convert to fraction form
    58,344/124,683 = 124,683/x
  3. Step 3: Cross multiply
    58,344x = 124,683 × 124,683
  4. Step 4: Simplify right side
    58,344x = 15,545,850,489
  5. Step 5: Solve for x
    x = 15,545,850,489/58,344
  6. Step 6: Final answer
    x = 266,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.