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Finding the Third Proportional to 70,878.38 and 114,201.56

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Solution

The third proportional to 70,878.38 and 114,201.56 is: 184,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.38 : 114,201.56 = 114,201.56 : x
  2. Step 2: Convert to fraction form
    70,878.38/114,201.56 = 114,201.56/x
  3. Step 3: Cross multiply
    70,878.38x = 114,201.56 × 114,201.56
  4. Step 4: Simplify right side
    70,878.38x = 13,041,996,877.44
  5. Step 5: Solve for x
    x = 13,041,996,877.44/70,878.38
  6. Step 6: Final answer
    x = 184,005.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.