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Finding the Third Proportional to 126,466 and 190,533

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Solution

The third proportional to 126,466 and 190,533 is: 287,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,466 : 190,533 = 190,533 : x
  2. Step 2: Convert to fraction form
    126,466/190,533 = 190,533/x
  3. Step 3: Cross multiply
    126,466x = 190,533 × 190,533
  4. Step 4: Simplify right side
    126,466x = 36,302,824,089
  5. Step 5: Solve for x
    x = 36,302,824,089/126,466
  6. Step 6: Final answer
    x = 287,056.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.