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Finding the Third Proportional to 99,769 and 146,737

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Solution

The third proportional to 99,769 and 146,737 is: 215,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769 : 146,737 = 146,737 : x
  2. Step 2: Convert to fraction form
    99,769/146,737 = 146,737/x
  3. Step 3: Cross multiply
    99,769x = 146,737 × 146,737
  4. Step 4: Simplify right side
    99,769x = 21,531,747,169
  5. Step 5: Solve for x
    x = 21,531,747,169/99,769
  6. Step 6: Final answer
    x = 215,816.01

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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.