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Finding the Third Proportional to 90,008 and 142,341

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Solution

The third proportional to 90,008 and 142,341 is: 225,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008 : 142,341 = 142,341 : x
  2. Step 2: Convert to fraction form
    90,008/142,341 = 142,341/x
  3. Step 3: Cross multiply
    90,008x = 142,341 × 142,341
  4. Step 4: Simplify right side
    90,008x = 20,260,960,281
  5. Step 5: Solve for x
    x = 20,260,960,281/90,008
  6. Step 6: Final answer
    x = 225,101.77

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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.