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Finding the Third Proportional to 107,201 and 169,901

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Solution

The third proportional to 107,201 and 169,901 is: 269,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201 : 169,901 = 169,901 : x
  2. Step 2: Convert to fraction form
    107,201/169,901 = 169,901/x
  3. Step 3: Cross multiply
    107,201x = 169,901 × 169,901
  4. Step 4: Simplify right side
    107,201x = 28,866,349,801
  5. Step 5: Solve for x
    x = 28,866,349,801/107,201
  6. Step 6: Final answer
    x = 269,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.