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Finding the Third Proportional to 148,495.50 and 201,753

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Solution

The third proportional to 148,495.50 and 201,753 is: 274,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,495.50 : 201,753 = 201,753 : x
  2. Step 2: Convert to fraction form
    148,495.50/201,753 = 201,753/x
  3. Step 3: Cross multiply
    148,495.50x = 201,753 × 201,753
  4. Step 4: Simplify right side
    148,495.50x = 40,704,273,009
  5. Step 5: Solve for x
    x = 40,704,273,009/148,495.50
  6. Step 6: Final answer
    x = 274,111.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.