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Finding the Third Proportional to 61,011.75 and 91,191

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Solution

The third proportional to 61,011.75 and 91,191 is: 136,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,011.75 : 91,191 = 91,191 : x
  2. Step 2: Convert to fraction form
    61,011.75/91,191 = 91,191/x
  3. Step 3: Cross multiply
    61,011.75x = 91,191 × 91,191
  4. Step 4: Simplify right side
    61,011.75x = 8,315,798,481
  5. Step 5: Solve for x
    x = 8,315,798,481/61,011.75
  6. Step 6: Final answer
    x = 136,298.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.