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Finding the Third Proportional to 105,722.72 and 163,952.86

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Solution

The third proportional to 105,722.72 and 163,952.86 is: 254,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,722.72 : 163,952.86 = 163,952.86 : x
  2. Step 2: Convert to fraction form
    105,722.72/163,952.86 = 163,952.86/x
  3. Step 3: Cross multiply
    105,722.72x = 163,952.86 × 163,952.86
  4. Step 4: Simplify right side
    105,722.72x = 26,880,540,097.24
  5. Step 5: Solve for x
    x = 26,880,540,097.24/105,722.72
  6. Step 6: Final answer
    x = 254,255.10

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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.