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Finding the Third Proportional to 77,942 and 121,476

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Solution

The third proportional to 77,942 and 121,476 is: 189,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,942 : 121,476 = 121,476 : x
  2. Step 2: Convert to fraction form
    77,942/121,476 = 121,476/x
  3. Step 3: Cross multiply
    77,942x = 121,476 × 121,476
  4. Step 4: Simplify right side
    77,942x = 14,756,418,576
  5. Step 5: Solve for x
    x = 14,756,418,576/77,942
  6. Step 6: Final answer
    x = 189,325.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.