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Finding the Third Proportional to 83,534 and 127,947

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Solution

The third proportional to 83,534 and 127,947 is: 195,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534 : 127,947 = 127,947 : x
  2. Step 2: Convert to fraction form
    83,534/127,947 = 127,947/x
  3. Step 3: Cross multiply
    83,534x = 127,947 × 127,947
  4. Step 4: Simplify right side
    83,534x = 16,370,434,809
  5. Step 5: Solve for x
    x = 16,370,434,809/83,534
  6. Step 6: Final answer
    x = 195,973.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.