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Finding the Third Proportional to 90,970 and 138,291

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Solution

The third proportional to 90,970 and 138,291 is: 210,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,970 : 138,291 = 138,291 : x
  2. Step 2: Convert to fraction form
    90,970/138,291 = 138,291/x
  3. Step 3: Cross multiply
    90,970x = 138,291 × 138,291
  4. Step 4: Simplify right side
    90,970x = 19,124,400,681
  5. Step 5: Solve for x
    x = 19,124,400,681/90,970
  6. Step 6: Final answer
    x = 210,227.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.