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Finding the Third Proportional to 115,880 and 165,292

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Solution

The third proportional to 115,880 and 165,292 is: 235,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,880 : 165,292 = 165,292 : x
  2. Step 2: Convert to fraction form
    115,880/165,292 = 165,292/x
  3. Step 3: Cross multiply
    115,880x = 165,292 × 165,292
  4. Step 4: Simplify right side
    115,880x = 27,321,445,264
  5. Step 5: Solve for x
    x = 27,321,445,264/115,880
  6. Step 6: Final answer
    x = 235,773.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.