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Finding the Third Proportional to 124,422 and 188,937

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Solution

The third proportional to 124,422 and 188,937 is: 286,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,422 : 188,937 = 188,937 : x
  2. Step 2: Convert to fraction form
    124,422/188,937 = 188,937/x
  3. Step 3: Cross multiply
    124,422x = 188,937 × 188,937
  4. Step 4: Simplify right side
    124,422x = 35,697,189,969
  5. Step 5: Solve for x
    x = 35,697,189,969/124,422
  6. Step 6: Final answer
    x = 286,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.