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Finding the Third Proportional to 75,541.78 and 162,907.03

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Solution

The third proportional to 75,541.78 and 162,907.03 is: 351,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,541.78 : 162,907.03 = 162,907.03 : x
  2. Step 2: Convert to fraction form
    75,541.78/162,907.03 = 162,907.03/x
  3. Step 3: Cross multiply
    75,541.78x = 162,907.03 × 162,907.03
  4. Step 4: Simplify right side
    75,541.78x = 26,538,700,830.69
  5. Step 5: Solve for x
    x = 26,538,700,830.69/75,541.78
  6. Step 6: Final answer
    x = 351,311.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.