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Finding the Third Proportional to 75,309 and 162,280

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Solution

The third proportional to 75,309 and 162,280 is: 349,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309 : 162,280 = 162,280 : x
  2. Step 2: Convert to fraction form
    75,309/162,280 = 162,280/x
  3. Step 3: Cross multiply
    75,309x = 162,280 × 162,280
  4. Step 4: Simplify right side
    75,309x = 26,334,798,400
  5. Step 5: Solve for x
    x = 26,334,798,400/75,309
  6. Step 6: Final answer
    x = 349,689.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.