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Finding the Third Proportional to 77,769 and 110,023

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Solution

The third proportional to 77,769 and 110,023 is: 155,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 110,023 = 110,023 : x
  2. Step 2: Convert to fraction form
    77,769/110,023 = 110,023/x
  3. Step 3: Cross multiply
    77,769x = 110,023 × 110,023
  4. Step 4: Simplify right side
    77,769x = 12,105,060,529
  5. Step 5: Solve for x
    x = 12,105,060,529/77,769
  6. Step 6: Final answer
    x = 155,654.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.