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Finding the Third Proportional to 92,912 and 140,239

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Solution

The third proportional to 92,912 and 140,239 is: 211,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 140,239 = 140,239 : x
  2. Step 2: Convert to fraction form
    92,912/140,239 = 140,239/x
  3. Step 3: Cross multiply
    92,912x = 140,239 × 140,239
  4. Step 4: Simplify right side
    92,912x = 19,666,977,121
  5. Step 5: Solve for x
    x = 19,666,977,121/92,912
  6. Step 6: Final answer
    x = 211,673.17

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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.