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Finding the Third Proportional to 89,724 and 190,386

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Solution

The third proportional to 89,724 and 190,386 is: 403,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,724 : 190,386 = 190,386 : x
  2. Step 2: Convert to fraction form
    89,724/190,386 = 190,386/x
  3. Step 3: Cross multiply
    89,724x = 190,386 × 190,386
  4. Step 4: Simplify right side
    89,724x = 36,246,828,996
  5. Step 5: Solve for x
    x = 36,246,828,996/89,724
  6. Step 6: Final answer
    x = 403,981.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.