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Finding the Third Proportional to 42,152.25 and 88,201.50

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Solution

The third proportional to 42,152.25 and 88,201.50 is: 184,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,152.25 : 88,201.50 = 88,201.50 : x
  2. Step 2: Convert to fraction form
    42,152.25/88,201.50 = 88,201.50/x
  3. Step 3: Cross multiply
    42,152.25x = 88,201.50 × 88,201.50
  4. Step 4: Simplify right side
    42,152.25x = 7,779,504,602.25
  5. Step 5: Solve for x
    x = 7,779,504,602.25/42,152.25
  6. Step 6: Final answer
    x = 184,557.28

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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.