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Finding the Third Proportional to 67,734.75 and 105,222.75

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Solution

The third proportional to 67,734.75 and 105,222.75 is: 163,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,734.75 : 105,222.75 = 105,222.75 : x
  2. Step 2: Convert to fraction form
    67,734.75/105,222.75 = 105,222.75/x
  3. Step 3: Cross multiply
    67,734.75x = 105,222.75 × 105,222.75
  4. Step 4: Simplify right side
    67,734.75x = 11,071,827,117.56
  5. Step 5: Solve for x
    x = 11,071,827,117.56/67,734.75
  6. Step 6: Final answer
    x = 163,458.60

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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.