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Finding the Third Proportional to 95,647.50 and 140,555.25

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Solution

The third proportional to 95,647.50 and 140,555.25 is: 206,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,647.50 : 140,555.25 = 140,555.25 : x
  2. Step 2: Convert to fraction form
    95,647.50/140,555.25 = 140,555.25/x
  3. Step 3: Cross multiply
    95,647.50x = 140,555.25 × 140,555.25
  4. Step 4: Simplify right side
    95,647.50x = 19,755,778,302.56
  5. Step 5: Solve for x
    x = 19,755,778,302.56/95,647.50
  6. Step 6: Final answer
    x = 206,547.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.