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Finding the Third Proportional to 48,117.50 and 104,969

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Solution

The third proportional to 48,117.50 and 104,969 is: 228,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117.50 : 104,969 = 104,969 : x
  2. Step 2: Convert to fraction form
    48,117.50/104,969 = 104,969/x
  3. Step 3: Cross multiply
    48,117.50x = 104,969 × 104,969
  4. Step 4: Simplify right side
    48,117.50x = 11,018,490,961
  5. Step 5: Solve for x
    x = 11,018,490,961/48,117.50
  6. Step 6: Final answer
    x = 228,991.34

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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.