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Finding the Third Proportional to 99,654 and 145,644

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Solution

The third proportional to 99,654 and 145,644 is: 212,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,654 : 145,644 = 145,644 : x
  2. Step 2: Convert to fraction form
    99,654/145,644 = 145,644/x
  3. Step 3: Cross multiply
    99,654x = 145,644 × 145,644
  4. Step 4: Simplify right side
    99,654x = 21,212,174,736
  5. Step 5: Solve for x
    x = 21,212,174,736/99,654
  6. Step 6: Final answer
    x = 212,858.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.