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Finding the Third Proportional to 60,836 and 91,010

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Solution

The third proportional to 60,836 and 91,010 is: 136,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,836 : 91,010 = 91,010 : x
  2. Step 2: Convert to fraction form
    60,836/91,010 = 91,010/x
  3. Step 3: Cross multiply
    60,836x = 91,010 × 91,010
  4. Step 4: Simplify right side
    60,836x = 8,282,820,100
  5. Step 5: Solve for x
    x = 8,282,820,100/60,836
  6. Step 6: Final answer
    x = 136,149.98

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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.