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Finding the Third Proportional to 92,476 and 139,686

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Solution

The third proportional to 92,476 and 139,686 is: 210,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,476 : 139,686 = 139,686 : x
  2. Step 2: Convert to fraction form
    92,476/139,686 = 139,686/x
  3. Step 3: Cross multiply
    92,476x = 139,686 × 139,686
  4. Step 4: Simplify right side
    92,476x = 19,512,178,596
  5. Step 5: Solve for x
    x = 19,512,178,596/92,476
  6. Step 6: Final answer
    x = 210,997.22

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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.