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Finding the Third Proportional to 50,222 and 77,709

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Solution

The third proportional to 50,222 and 77,709 is: 120,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222 : 77,709 = 77,709 : x
  2. Step 2: Convert to fraction form
    50,222/77,709 = 77,709/x
  3. Step 3: Cross multiply
    50,222x = 77,709 × 77,709
  4. Step 4: Simplify right side
    50,222x = 6,038,688,681
  5. Step 5: Solve for x
    x = 6,038,688,681/50,222
  6. Step 6: Final answer
    x = 120,239.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.