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Finding the Third Proportional to 48,937.50 and 106,623

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Solution

The third proportional to 48,937.50 and 106,623 is: 232,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937.50 : 106,623 = 106,623 : x
  2. Step 2: Convert to fraction form
    48,937.50/106,623 = 106,623/x
  3. Step 3: Cross multiply
    48,937.50x = 106,623 × 106,623
  4. Step 4: Simplify right side
    48,937.50x = 11,368,464,129
  5. Step 5: Solve for x
    x = 11,368,464,129/48,937.50
  6. Step 6: Final answer
    x = 232,305.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.