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Finding the Third Proportional to 42,152.25 and 88,202.25

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Solution

The third proportional to 42,152.25 and 88,202.25 is: 184,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,152.25 : 88,202.25 = 88,202.25 : x
  2. Step 2: Convert to fraction form
    42,152.25/88,202.25 = 88,202.25/x
  3. Step 3: Cross multiply
    42,152.25x = 88,202.25 × 88,202.25
  4. Step 4: Simplify right side
    42,152.25x = 7,779,636,905.06
  5. Step 5: Solve for x
    x = 7,779,636,905.06/42,152.25
  6. Step 6: Final answer
    x = 184,560.42

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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.