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Finding the Third Proportional to 71,541 and 154,152.50

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Solution

The third proportional to 71,541 and 154,152.50 is: 332,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541 : 154,152.50 = 154,152.50 : x
  2. Step 2: Convert to fraction form
    71,541/154,152.50 = 154,152.50/x
  3. Step 3: Cross multiply
    71,541x = 154,152.50 × 154,152.50
  4. Step 4: Simplify right side
    71,541x = 23,762,993,256.25
  5. Step 5: Solve for x
    x = 23,762,993,256.25/71,541
  6. Step 6: Final answer
    x = 332,159.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.