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Finding the Third Proportional to 77,769 and 120,090.75

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Solution

The third proportional to 77,769 and 120,090.75 is: 185,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 120,090.75 = 120,090.75 : x
  2. Step 2: Convert to fraction form
    77,769/120,090.75 = 120,090.75/x
  3. Step 3: Cross multiply
    77,769x = 120,090.75 × 120,090.75
  4. Step 4: Simplify right side
    77,769x = 14,421,788,235.56
  5. Step 5: Solve for x
    x = 14,421,788,235.56/77,769
  6. Step 6: Final answer
    x = 185,443.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.