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Finding the Third Proportional to 92,850 and 144,126

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Solution

The third proportional to 92,850 and 144,126 is: 223,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,850 : 144,126 = 144,126 : x
  2. Step 2: Convert to fraction form
    92,850/144,126 = 144,126/x
  3. Step 3: Cross multiply
    92,850x = 144,126 × 144,126
  4. Step 4: Simplify right side
    92,850x = 20,772,303,876
  5. Step 5: Solve for x
    x = 20,772,303,876/92,850
  6. Step 6: Final answer
    x = 223,718.94

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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.