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Finding the Third Proportional to 90,252 and 143,034

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Solution

The third proportional to 90,252 and 143,034 is: 226,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,252 : 143,034 = 143,034 : x
  2. Step 2: Convert to fraction form
    90,252/143,034 = 143,034/x
  3. Step 3: Cross multiply
    90,252x = 143,034 × 143,034
  4. Step 4: Simplify right side
    90,252x = 20,458,725,156
  5. Step 5: Solve for x
    x = 20,458,725,156/90,252
  6. Step 6: Final answer
    x = 226,684.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.