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Finding the Third Proportional to 42,153 and 88,203.75

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Solution

The third proportional to 42,153 and 88,203.75 is: 184,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153 : 88,203.75 = 88,203.75 : x
  2. Step 2: Convert to fraction form
    42,153/88,203.75 = 88,203.75/x
  3. Step 3: Cross multiply
    42,153x = 88,203.75 × 88,203.75
  4. Step 4: Simplify right side
    42,153x = 7,779,901,514.06
  5. Step 5: Solve for x
    x = 7,779,901,514.06/42,153
  6. Step 6: Final answer
    x = 184,563.41

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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.