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Finding the Third Proportional to 52,783 and 115,033

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Solution

The third proportional to 52,783 and 115,033 is: 250,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783 : 115,033 = 115,033 : x
  2. Step 2: Convert to fraction form
    52,783/115,033 = 115,033/x
  3. Step 3: Cross multiply
    52,783x = 115,033 × 115,033
  4. Step 4: Simplify right side
    52,783x = 13,232,591,089
  5. Step 5: Solve for x
    x = 13,232,591,089/52,783
  6. Step 6: Final answer
    x = 250,697.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.