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Finding the Third Proportional to 124,718 and 190,190

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Solution

The third proportional to 124,718 and 190,190 is: 290,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,718 : 190,190 = 190,190 : x
  2. Step 2: Convert to fraction form
    124,718/190,190 = 190,190/x
  3. Step 3: Cross multiply
    124,718x = 190,190 × 190,190
  4. Step 4: Simplify right side
    124,718x = 36,172,236,100
  5. Step 5: Solve for x
    x = 36,172,236,100/124,718
  6. Step 6: Final answer
    x = 290,032.20

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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.