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Finding the Third Proportional to 87,490 and 193,028

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Solution

The third proportional to 87,490 and 193,028 is: 425,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,490 : 193,028 = 193,028 : x
  2. Step 2: Convert to fraction form
    87,490/193,028 = 193,028/x
  3. Step 3: Cross multiply
    87,490x = 193,028 × 193,028
  4. Step 4: Simplify right side
    87,490x = 37,259,808,784
  5. Step 5: Solve for x
    x = 37,259,808,784/87,490
  6. Step 6: Final answer
    x = 425,875.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.