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Finding the Third Proportional to 99,732 and 146,646

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Solution

The third proportional to 99,732 and 146,646 is: 215,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732 : 146,646 = 146,646 : x
  2. Step 2: Convert to fraction form
    99,732/146,646 = 146,646/x
  3. Step 3: Cross multiply
    99,732x = 146,646 × 146,646
  4. Step 4: Simplify right side
    99,732x = 21,505,049,316
  5. Step 5: Solve for x
    x = 21,505,049,316/99,732
  6. Step 6: Final answer
    x = 215,628.38

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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.