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Finding the Third Proportional to 48,998 and 105,772

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Solution

The third proportional to 48,998 and 105,772 is: 228,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,998 : 105,772 = 105,772 : x
  2. Step 2: Convert to fraction form
    48,998/105,772 = 105,772/x
  3. Step 3: Cross multiply
    48,998x = 105,772 × 105,772
  4. Step 4: Simplify right side
    48,998x = 11,187,715,984
  5. Step 5: Solve for x
    x = 11,187,715,984/48,998
  6. Step 6: Final answer
    x = 228,330.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.