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Finding the Third Proportional to 74,953.50 and 159,616.50

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Solution

The third proportional to 74,953.50 and 159,616.50 is: 339,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,953.50 : 159,616.50 = 159,616.50 : x
  2. Step 2: Convert to fraction form
    74,953.50/159,616.50 = 159,616.50/x
  3. Step 3: Cross multiply
    74,953.50x = 159,616.50 × 159,616.50
  4. Step 4: Simplify right side
    74,953.50x = 25,477,427,072.25
  5. Step 5: Solve for x
    x = 25,477,427,072.25/74,953.50
  6. Step 6: Final answer
    x = 339,909.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.