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Finding the Third Proportional to 75,706 and 163,951.75

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Solution

The third proportional to 75,706 and 163,951.75 is: 355,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706 : 163,951.75 = 163,951.75 : x
  2. Step 2: Convert to fraction form
    75,706/163,951.75 = 163,951.75/x
  3. Step 3: Cross multiply
    75,706x = 163,951.75 × 163,951.75
  4. Step 4: Simplify right side
    75,706x = 26,880,176,328.06
  5. Step 5: Solve for x
    x = 26,880,176,328.06/75,706
  6. Step 6: Final answer
    x = 355,060.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.