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Finding the Third Proportional to 91,587.50 and 193,015

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Solution

The third proportional to 91,587.50 and 193,015 is: 406,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,587.50 : 193,015 = 193,015 : x
  2. Step 2: Convert to fraction form
    91,587.50/193,015 = 193,015/x
  3. Step 3: Cross multiply
    91,587.50x = 193,015 × 193,015
  4. Step 4: Simplify right side
    91,587.50x = 37,254,790,225
  5. Step 5: Solve for x
    x = 37,254,790,225/91,587.50
  6. Step 6: Final answer
    x = 406,767.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.