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Finding the Third Proportional to 60,965 and 89,807

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Solution

The third proportional to 60,965 and 89,807 is: 132,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,965 : 89,807 = 89,807 : x
  2. Step 2: Convert to fraction form
    60,965/89,807 = 89,807/x
  3. Step 3: Cross multiply
    60,965x = 89,807 × 89,807
  4. Step 4: Simplify right side
    60,965x = 8,065,297,249
  5. Step 5: Solve for x
    x = 8,065,297,249/60,965
  6. Step 6: Final answer
    x = 132,293.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.