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Finding the Third Proportional to 105,422 and 163,060

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Solution

The third proportional to 105,422 and 163,060 is: 252,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422 : 163,060 = 163,060 : x
  2. Step 2: Convert to fraction form
    105,422/163,060 = 163,060/x
  3. Step 3: Cross multiply
    105,422x = 163,060 × 163,060
  4. Step 4: Simplify right side
    105,422x = 26,588,563,600
  5. Step 5: Solve for x
    x = 26,588,563,600/105,422
  6. Step 6: Final answer
    x = 252,210.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.