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Finding the Third Proportional to 68,733 and 106,423.88

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Solution

The third proportional to 68,733 and 106,423.88 is: 164,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,733 : 106,423.88 = 106,423.88 : x
  2. Step 2: Convert to fraction form
    68,733/106,423.88 = 106,423.88/x
  3. Step 3: Cross multiply
    68,733x = 106,423.88 × 106,423.88
  4. Step 4: Simplify right side
    68,733x = 11,326,041,170.02
  5. Step 5: Solve for x
    x = 11,326,041,170.02/68,733
  6. Step 6: Final answer
    x = 164,783.16

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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.