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Finding the Third Proportional to 42,153 and 88,203

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Solution

The third proportional to 42,153 and 88,203 is: 184,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153 : 88,203 = 88,203 : x
  2. Step 2: Convert to fraction form
    42,153/88,203 = 88,203/x
  3. Step 3: Cross multiply
    42,153x = 88,203 × 88,203
  4. Step 4: Simplify right side
    42,153x = 7,779,769,209
  5. Step 5: Solve for x
    x = 7,779,769,209/42,153
  6. Step 6: Final answer
    x = 184,560.27

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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.