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Finding the Third Proportional to 128,427 and 170,409

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Solution

The third proportional to 128,427 and 170,409 is: 226,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,427 : 170,409 = 170,409 : x
  2. Step 2: Convert to fraction form
    128,427/170,409 = 170,409/x
  3. Step 3: Cross multiply
    128,427x = 170,409 × 170,409
  4. Step 4: Simplify right side
    128,427x = 29,039,227,281
  5. Step 5: Solve for x
    x = 29,039,227,281/128,427
  6. Step 6: Final answer
    x = 226,114.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.