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Finding the Third Proportional to 88,182 and 121,473.75

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Solution

The third proportional to 88,182 and 121,473.75 is: 167,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 121,473.75 = 121,473.75 : x
  2. Step 2: Convert to fraction form
    88,182/121,473.75 = 121,473.75/x
  3. Step 3: Cross multiply
    88,182x = 121,473.75 × 121,473.75
  4. Step 4: Simplify right side
    88,182x = 14,755,871,939.06
  5. Step 5: Solve for x
    x = 14,755,871,939.06/88,182
  6. Step 6: Final answer
    x = 167,334.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.