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Finding the Third Proportional to 97,127 and 150,003

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Solution

The third proportional to 97,127 and 150,003 is: 231,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,127 : 150,003 = 150,003 : x
  2. Step 2: Convert to fraction form
    97,127/150,003 = 150,003/x
  3. Step 3: Cross multiply
    97,127x = 150,003 × 150,003
  4. Step 4: Simplify right side
    97,127x = 22,500,900,009
  5. Step 5: Solve for x
    x = 22,500,900,009/97,127
  6. Step 6: Final answer
    x = 231,664.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.