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Finding the Third Proportional to 50,574 and 77,970

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Solution

The third proportional to 50,574 and 77,970 is: 120,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574 : 77,970 = 77,970 : x
  2. Step 2: Convert to fraction form
    50,574/77,970 = 77,970/x
  3. Step 3: Cross multiply
    50,574x = 77,970 × 77,970
  4. Step 4: Simplify right side
    50,574x = 6,079,320,900
  5. Step 5: Solve for x
    x = 6,079,320,900/50,574
  6. Step 6: Final answer
    x = 120,206.45

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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.