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Finding the Third Proportional to 124,967.75 and 183,003

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Solution

The third proportional to 124,967.75 and 183,003 is: 267,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,967.75 : 183,003 = 183,003 : x
  2. Step 2: Convert to fraction form
    124,967.75/183,003 = 183,003/x
  3. Step 3: Cross multiply
    124,967.75x = 183,003 × 183,003
  4. Step 4: Simplify right side
    124,967.75x = 33,490,098,009
  5. Step 5: Solve for x
    x = 33,490,098,009/124,967.75
  6. Step 6: Final answer
    x = 267,989.93

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