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Finding the Third Proportional to 93,339 and 149,727

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Solution

The third proportional to 93,339 and 149,727 is: 240,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,339 : 149,727 = 149,727 : x
  2. Step 2: Convert to fraction form
    93,339/149,727 = 149,727/x
  3. Step 3: Cross multiply
    93,339x = 149,727 × 149,727
  4. Step 4: Simplify right side
    93,339x = 22,418,174,529
  5. Step 5: Solve for x
    x = 22,418,174,529/93,339
  6. Step 6: Final answer
    x = 240,180.14

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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.