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Finding the Third Proportional to 75,246 and 160,284

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Solution

The third proportional to 75,246 and 160,284 is: 341,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246 : 160,284 = 160,284 : x
  2. Step 2: Convert to fraction form
    75,246/160,284 = 160,284/x
  3. Step 3: Cross multiply
    75,246x = 160,284 × 160,284
  4. Step 4: Simplify right side
    75,246x = 25,690,960,656
  5. Step 5: Solve for x
    x = 25,690,960,656/75,246
  6. Step 6: Final answer
    x = 341,426.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.