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Finding the Third Proportional to 92,343 and 139,181

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Solution

The third proportional to 92,343 and 139,181 is: 209,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343 : 139,181 = 139,181 : x
  2. Step 2: Convert to fraction form
    92,343/139,181 = 139,181/x
  3. Step 3: Cross multiply
    92,343x = 139,181 × 139,181
  4. Step 4: Simplify right side
    92,343x = 19,371,350,761
  5. Step 5: Solve for x
    x = 19,371,350,761/92,343
  6. Step 6: Final answer
    x = 209,776.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.