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Finding the Third Proportional to 60,314 and 91,719

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Solution

The third proportional to 60,314 and 91,719 is: 139,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,314 : 91,719 = 91,719 : x
  2. Step 2: Convert to fraction form
    60,314/91,719 = 91,719/x
  3. Step 3: Cross multiply
    60,314x = 91,719 × 91,719
  4. Step 4: Simplify right side
    60,314x = 8,412,374,961
  5. Step 5: Solve for x
    x = 8,412,374,961/60,314
  6. Step 6: Final answer
    x = 139,476.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.