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Finding the Third Proportional to 132,097.50 and 246,672

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Solution

The third proportional to 132,097.50 and 246,672 is: 460,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,097.50 : 246,672 = 246,672 : x
  2. Step 2: Convert to fraction form
    132,097.50/246,672 = 246,672/x
  3. Step 3: Cross multiply
    132,097.50x = 246,672 × 246,672
  4. Step 4: Simplify right side
    132,097.50x = 60,847,075,584
  5. Step 5: Solve for x
    x = 60,847,075,584/132,097.50
  6. Step 6: Final answer
    x = 460,622.46

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.