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Finding the Third Proportional to 127,053 and 189,963

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Solution

The third proportional to 127,053 and 189,963 is: 284,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,053 : 189,963 = 189,963 : x
  2. Step 2: Convert to fraction form
    127,053/189,963 = 189,963/x
  3. Step 3: Cross multiply
    127,053x = 189,963 × 189,963
  4. Step 4: Simplify right side
    127,053x = 36,085,941,369
  5. Step 5: Solve for x
    x = 36,085,941,369/127,053
  6. Step 6: Final answer
    x = 284,022.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.