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Finding the Third Proportional to 92,920 and 124,854

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Solution

The third proportional to 92,920 and 124,854 is: 167,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,920 : 124,854 = 124,854 : x
  2. Step 2: Convert to fraction form
    92,920/124,854 = 124,854/x
  3. Step 3: Cross multiply
    92,920x = 124,854 × 124,854
  4. Step 4: Simplify right side
    92,920x = 15,588,521,316
  5. Step 5: Solve for x
    x = 15,588,521,316/92,920
  6. Step 6: Final answer
    x = 167,762.82

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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.