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Finding the Third Proportional to 83,970 and 126,603

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Solution

The third proportional to 83,970 and 126,603 is: 190,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970 : 126,603 = 126,603 : x
  2. Step 2: Convert to fraction form
    83,970/126,603 = 126,603/x
  3. Step 3: Cross multiply
    83,970x = 126,603 × 126,603
  4. Step 4: Simplify right side
    83,970x = 16,028,319,609
  5. Step 5: Solve for x
    x = 16,028,319,609/83,970
  6. Step 6: Final answer
    x = 190,881.50

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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.