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Finding the Third Proportional to 95,085 and 143,167.50

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Solution

The third proportional to 95,085 and 143,167.50 is: 215,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,085 : 143,167.50 = 143,167.50 : x
  2. Step 2: Convert to fraction form
    95,085/143,167.50 = 143,167.50/x
  3. Step 3: Cross multiply
    95,085x = 143,167.50 × 143,167.50
  4. Step 4: Simplify right side
    95,085x = 20,496,933,056.25
  5. Step 5: Solve for x
    x = 20,496,933,056.25/95,085
  6. Step 6: Final answer
    x = 215,564.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.