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Finding the Third Proportional to 42,151.64 and 88,200.56

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Solution

The third proportional to 42,151.64 and 88,200.56 is: 184,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,151.64 : 88,200.56 = 88,200.56 : x
  2. Step 2: Convert to fraction form
    42,151.64/88,200.56 = 88,200.56/x
  3. Step 3: Cross multiply
    42,151.64x = 88,200.56 × 88,200.56
  4. Step 4: Simplify right side
    42,151.64x = 7,779,339,225.32
  5. Step 5: Solve for x
    x = 7,779,339,225.32/42,151.64
  6. Step 6: Final answer
    x = 184,556.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.