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Finding the Third Proportional to 124,969 and 183,004

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Solution

The third proportional to 124,969 and 183,004 is: 267,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,969 : 183,004 = 183,004 : x
  2. Step 2: Convert to fraction form
    124,969/183,004 = 183,004/x
  3. Step 3: Cross multiply
    124,969x = 183,004 × 183,004
  4. Step 4: Simplify right side
    124,969x = 33,490,464,016
  5. Step 5: Solve for x
    x = 33,490,464,016/124,969
  6. Step 6: Final answer
    x = 267,990.17

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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.