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Finding the Third Proportional to 60,819 and 90,985

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Solution

The third proportional to 60,819 and 90,985 is: 136,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,819 : 90,985 = 90,985 : x
  2. Step 2: Convert to fraction form
    60,819/90,985 = 90,985/x
  3. Step 3: Cross multiply
    60,819x = 90,985 × 90,985
  4. Step 4: Simplify right side
    60,819x = 8,278,270,225
  5. Step 5: Solve for x
    x = 8,278,270,225/60,819
  6. Step 6: Final answer
    x = 136,113.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.