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Finding the Third Proportional to 50,789 and 77,550

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Solution

The third proportional to 50,789 and 77,550 is: 118,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789 : 77,550 = 77,550 : x
  2. Step 2: Convert to fraction form
    50,789/77,550 = 77,550/x
  3. Step 3: Cross multiply
    50,789x = 77,550 × 77,550
  4. Step 4: Simplify right side
    50,789x = 6,014,002,500
  5. Step 5: Solve for x
    x = 6,014,002,500/50,789
  6. Step 6: Final answer
    x = 118,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.