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Finding the Third Proportional to 127,712 and 204,020

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Solution

The third proportional to 127,712 and 204,020 is: 325,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712 : 204,020 = 204,020 : x
  2. Step 2: Convert to fraction form
    127,712/204,020 = 204,020/x
  3. Step 3: Cross multiply
    127,712x = 204,020 × 204,020
  4. Step 4: Simplify right side
    127,712x = 41,624,160,400
  5. Step 5: Solve for x
    x = 41,624,160,400/127,712
  6. Step 6: Final answer
    x = 325,922.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.