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Finding the Third Proportional to 107,316 and 170,181

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Solution

The third proportional to 107,316 and 170,181 is: 269,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,316 : 170,181 = 170,181 : x
  2. Step 2: Convert to fraction form
    107,316/170,181 = 170,181/x
  3. Step 3: Cross multiply
    107,316x = 170,181 × 170,181
  4. Step 4: Simplify right side
    107,316x = 28,961,572,761
  5. Step 5: Solve for x
    x = 28,961,572,761/107,316
  6. Step 6: Final answer
    x = 269,871.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.