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Finding the Third Proportional to 105,476 and 161,350

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Solution

The third proportional to 105,476 and 161,350 is: 246,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,476 : 161,350 = 161,350 : x
  2. Step 2: Convert to fraction form
    105,476/161,350 = 161,350/x
  3. Step 3: Cross multiply
    105,476x = 161,350 × 161,350
  4. Step 4: Simplify right side
    105,476x = 26,033,822,500
  5. Step 5: Solve for x
    x = 26,033,822,500/105,476
  6. Step 6: Final answer
    x = 246,822.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.