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Finding the Third Proportional to 93,717 and 149,889

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Solution

The third proportional to 93,717 and 149,889 is: 239,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,717 : 149,889 = 149,889 : x
  2. Step 2: Convert to fraction form
    93,717/149,889 = 149,889/x
  3. Step 3: Cross multiply
    93,717x = 149,889 × 149,889
  4. Step 4: Simplify right side
    93,717x = 22,466,712,321
  5. Step 5: Solve for x
    x = 22,466,712,321/93,717
  6. Step 6: Final answer
    x = 239,729.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.