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Finding the Third Proportional to 91,916 and 147,472

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Solution

The third proportional to 91,916 and 147,472 is: 236,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,916 : 147,472 = 147,472 : x
  2. Step 2: Convert to fraction form
    91,916/147,472 = 147,472/x
  3. Step 3: Cross multiply
    91,916x = 147,472 × 147,472
  4. Step 4: Simplify right side
    91,916x = 21,747,990,784
  5. Step 5: Solve for x
    x = 21,747,990,784/91,916
  6. Step 6: Final answer
    x = 236,607.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.