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Finding the Third Proportional to 92,788 and 144,033

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Solution

The third proportional to 92,788 and 144,033 is: 223,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,788 : 144,033 = 144,033 : x
  2. Step 2: Convert to fraction form
    92,788/144,033 = 144,033/x
  3. Step 3: Cross multiply
    92,788x = 144,033 × 144,033
  4. Step 4: Simplify right side
    92,788x = 20,745,505,089
  5. Step 5: Solve for x
    x = 20,745,505,089/92,788
  6. Step 6: Final answer
    x = 223,579.61

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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.