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Finding the Third Proportional to 92,916 and 124,842

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Solution

The third proportional to 92,916 and 124,842 is: 167,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,916 : 124,842 = 124,842 : x
  2. Step 2: Convert to fraction form
    92,916/124,842 = 124,842/x
  3. Step 3: Cross multiply
    92,916x = 124,842 × 124,842
  4. Step 4: Simplify right side
    92,916x = 15,585,524,964
  5. Step 5: Solve for x
    x = 15,585,524,964/92,916
  6. Step 6: Final answer
    x = 167,737.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.