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Finding the Third Proportional to 107,485 and 161,209

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Solution

The third proportional to 107,485 and 161,209 is: 241,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,485 : 161,209 = 161,209 : x
  2. Step 2: Convert to fraction form
    107,485/161,209 = 161,209/x
  3. Step 3: Cross multiply
    107,485x = 161,209 × 161,209
  4. Step 4: Simplify right side
    107,485x = 25,988,341,681
  5. Step 5: Solve for x
    x = 25,988,341,681/107,485
  6. Step 6: Final answer
    x = 241,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.