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Finding the Third Proportional to 88,926 and 135,647.50

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Solution

The third proportional to 88,926 and 135,647.50 is: 206,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,926 : 135,647.50 = 135,647.50 : x
  2. Step 2: Convert to fraction form
    88,926/135,647.50 = 135,647.50/x
  3. Step 3: Cross multiply
    88,926x = 135,647.50 × 135,647.50
  4. Step 4: Simplify right side
    88,926x = 18,400,244,256.25
  5. Step 5: Solve for x
    x = 18,400,244,256.25/88,926
  6. Step 6: Final answer
    x = 206,916.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.