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Finding the Third Proportional to 48,572 and 77,234

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Solution

The third proportional to 48,572 and 77,234 is: 122,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,572 : 77,234 = 77,234 : x
  2. Step 2: Convert to fraction form
    48,572/77,234 = 77,234/x
  3. Step 3: Cross multiply
    48,572x = 77,234 × 77,234
  4. Step 4: Simplify right side
    48,572x = 5,965,090,756
  5. Step 5: Solve for x
    x = 5,965,090,756/48,572
  6. Step 6: Final answer
    x = 122,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.