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Finding the Third Proportional to 99,376 and 145,896

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Solution

The third proportional to 99,376 and 145,896 is: 214,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,376 : 145,896 = 145,896 : x
  2. Step 2: Convert to fraction form
    99,376/145,896 = 145,896/x
  3. Step 3: Cross multiply
    99,376x = 145,896 × 145,896
  4. Step 4: Simplify right side
    99,376x = 21,285,642,816
  5. Step 5: Solve for x
    x = 21,285,642,816/99,376
  6. Step 6: Final answer
    x = 214,192.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.