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Finding the Third Proportional to 50,146 and 77,394

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Solution

The third proportional to 50,146 and 77,394 is: 119,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,146 : 77,394 = 77,394 : x
  2. Step 2: Convert to fraction form
    50,146/77,394 = 77,394/x
  3. Step 3: Cross multiply
    50,146x = 77,394 × 77,394
  4. Step 4: Simplify right side
    50,146x = 5,989,831,236
  5. Step 5: Solve for x
    x = 5,989,831,236/50,146
  6. Step 6: Final answer
    x = 119,447.84

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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.