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Finding the Third Proportional to 77,754 and 120,066

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Solution

The third proportional to 77,754 and 120,066 is: 185,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754 : 120,066 = 120,066 : x
  2. Step 2: Convert to fraction form
    77,754/120,066 = 120,066/x
  3. Step 3: Cross multiply
    77,754x = 120,066 × 120,066
  4. Step 4: Simplify right side
    77,754x = 14,415,844,356
  5. Step 5: Solve for x
    x = 14,415,844,356/77,754
  6. Step 6: Final answer
    x = 185,403.25

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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.