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Finding the Third Proportional to 92,712 and 202,920

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Solution

The third proportional to 92,712 and 202,920 is: 444,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,712 : 202,920 = 202,920 : x
  2. Step 2: Convert to fraction form
    92,712/202,920 = 202,920/x
  3. Step 3: Cross multiply
    92,712x = 202,920 × 202,920
  4. Step 4: Simplify right side
    92,712x = 41,176,526,400
  5. Step 5: Solve for x
    x = 41,176,526,400/92,712
  6. Step 6: Final answer
    x = 444,133.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.