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Finding the Third Proportional to 91,816 and 139,560

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Solution

The third proportional to 91,816 and 139,560 is: 212,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,816 : 139,560 = 139,560 : x
  2. Step 2: Convert to fraction form
    91,816/139,560 = 139,560/x
  3. Step 3: Cross multiply
    91,816x = 139,560 × 139,560
  4. Step 4: Simplify right side
    91,816x = 19,476,993,600
  5. Step 5: Solve for x
    x = 19,476,993,600/91,816
  6. Step 6: Final answer
    x = 212,130.71

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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.