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Finding the Third Proportional to 48,905 and 118,057

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Solution

The third proportional to 48,905 and 118,057 is: 284,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,905 : 118,057 = 118,057 : x
  2. Step 2: Convert to fraction form
    48,905/118,057 = 118,057/x
  3. Step 3: Cross multiply
    48,905x = 118,057 × 118,057
  4. Step 4: Simplify right side
    48,905x = 13,937,455,249
  5. Step 5: Solve for x
    x = 13,937,455,249/48,905
  6. Step 6: Final answer
    x = 284,990.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.