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Finding the Third Proportional to 90,006 and 142,338

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Solution

The third proportional to 90,006 and 142,338 is: 225,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,006 : 142,338 = 142,338 : x
  2. Step 2: Convert to fraction form
    90,006/142,338 = 142,338/x
  3. Step 3: Cross multiply
    90,006x = 142,338 × 142,338
  4. Step 4: Simplify right side
    90,006x = 20,260,106,244
  5. Step 5: Solve for x
    x = 20,260,106,244/90,006
  6. Step 6: Final answer
    x = 225,097.29

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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.