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Finding the Third Proportional to 91,728 and 146,475

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Solution

The third proportional to 91,728 and 146,475 is: 233,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 146,475 = 146,475 : x
  2. Step 2: Convert to fraction form
    91,728/146,475 = 146,475/x
  3. Step 3: Cross multiply
    91,728x = 146,475 × 146,475
  4. Step 4: Simplify right side
    91,728x = 21,454,925,625
  5. Step 5: Solve for x
    x = 21,454,925,625/91,728
  6. Step 6: Final answer
    x = 233,897.24

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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.