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Finding the Third Proportional to 113,893.50 and 169,899

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Solution

The third proportional to 113,893.50 and 169,899 is: 253,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,893.50 : 169,899 = 169,899 : x
  2. Step 2: Convert to fraction form
    113,893.50/169,899 = 169,899/x
  3. Step 3: Cross multiply
    113,893.50x = 169,899 × 169,899
  4. Step 4: Simplify right side
    113,893.50x = 28,865,670,201
  5. Step 5: Solve for x
    x = 28,865,670,201/113,893.50
  6. Step 6: Final answer
    x = 253,444.40

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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.