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Finding the Third Proportional to 99,009 and 131,287.50

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Solution

The third proportional to 99,009 and 131,287.50 is: 174,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,009 : 131,287.50 = 131,287.50 : x
  2. Step 2: Convert to fraction form
    99,009/131,287.50 = 131,287.50/x
  3. Step 3: Cross multiply
    99,009x = 131,287.50 × 131,287.50
  4. Step 4: Simplify right side
    99,009x = 17,236,407,656.25
  5. Step 5: Solve for x
    x = 17,236,407,656.25/99,009
  6. Step 6: Final answer
    x = 174,089.30

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.