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Finding the Third Proportional to 77,740 and 120,044

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Solution

The third proportional to 77,740 and 120,044 is: 185,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740 : 120,044 = 120,044 : x
  2. Step 2: Convert to fraction form
    77,740/120,044 = 120,044/x
  3. Step 3: Cross multiply
    77,740x = 120,044 × 120,044
  4. Step 4: Simplify right side
    77,740x = 14,410,561,936
  5. Step 5: Solve for x
    x = 14,410,561,936/77,740
  6. Step 6: Final answer
    x = 185,368.69

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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.