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Finding the Third Proportional to 127,534 and 161,705

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Solution

The third proportional to 127,534 and 161,705 is: 205,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,534 : 161,705 = 161,705 : x
  2. Step 2: Convert to fraction form
    127,534/161,705 = 161,705/x
  3. Step 3: Cross multiply
    127,534x = 161,705 × 161,705
  4. Step 4: Simplify right side
    127,534x = 26,148,507,025
  5. Step 5: Solve for x
    x = 26,148,507,025/127,534
  6. Step 6: Final answer
    x = 205,031.65

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.