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Finding the Third Proportional to 58,363.50 and 91,191

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Solution

The third proportional to 58,363.50 and 91,191 is: 142,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,363.50 : 91,191 = 91,191 : x
  2. Step 2: Convert to fraction form
    58,363.50/91,191 = 91,191/x
  3. Step 3: Cross multiply
    58,363.50x = 91,191 × 91,191
  4. Step 4: Simplify right side
    58,363.50x = 8,315,798,481
  5. Step 5: Solve for x
    x = 8,315,798,481/58,363.50
  6. Step 6: Final answer
    x = 142,482.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.