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Finding the Third Proportional to 113,840.25 and 169,837.50

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Solution

The third proportional to 113,840.25 and 169,837.50 is: 253,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,840.25 : 169,837.50 = 169,837.50 : x
  2. Step 2: Convert to fraction form
    113,840.25/169,837.50 = 169,837.50/x
  3. Step 3: Cross multiply
    113,840.25x = 169,837.50 × 169,837.50
  4. Step 4: Simplify right side
    113,840.25x = 28,844,776,406.25
  5. Step 5: Solve for x
    x = 28,844,776,406.25/113,840.25
  6. Step 6: Final answer
    x = 253,379.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.