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Finding the Third Proportional to 105,810 and 163,755

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Solution

The third proportional to 105,810 and 163,755 is: 253,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,810 : 163,755 = 163,755 : x
  2. Step 2: Convert to fraction form
    105,810/163,755 = 163,755/x
  3. Step 3: Cross multiply
    105,810x = 163,755 × 163,755
  4. Step 4: Simplify right side
    105,810x = 26,815,700,025
  5. Step 5: Solve for x
    x = 26,815,700,025/105,810
  6. Step 6: Final answer
    x = 253,432.57

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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.