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Finding the Third Proportional to 57,301 and 123,066

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Solution

The third proportional to 57,301 and 123,066 is: 264,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,301 : 123,066 = 123,066 : x
  2. Step 2: Convert to fraction form
    57,301/123,066 = 123,066/x
  3. Step 3: Cross multiply
    57,301x = 123,066 × 123,066
  4. Step 4: Simplify right side
    57,301x = 15,145,240,356
  5. Step 5: Solve for x
    x = 15,145,240,356/57,301
  6. Step 6: Final answer
    x = 264,310.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.