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Finding the Third Proportional to 60,431 and 132,827

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Solution

The third proportional to 60,431 and 132,827 is: 291,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,431 : 132,827 = 132,827 : x
  2. Step 2: Convert to fraction form
    60,431/132,827 = 132,827/x
  3. Step 3: Cross multiply
    60,431x = 132,827 × 132,827
  4. Step 4: Simplify right side
    60,431x = 17,643,011,929
  5. Step 5: Solve for x
    x = 17,643,011,929/60,431
  6. Step 6: Final answer
    x = 291,953.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.