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Finding the Third Proportional to 127,202 and 197,806

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Solution

The third proportional to 127,202 and 197,806 is: 307,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,202 : 197,806 = 197,806 : x
  2. Step 2: Convert to fraction form
    127,202/197,806 = 197,806/x
  3. Step 3: Cross multiply
    127,202x = 197,806 × 197,806
  4. Step 4: Simplify right side
    127,202x = 39,127,213,636
  5. Step 5: Solve for x
    x = 39,127,213,636/127,202
  6. Step 6: Final answer
    x = 307,599.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.