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Finding the Third Proportional to 42,477 and 93,114

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Solution

The third proportional to 42,477 and 93,114 is: 204,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477 : 93,114 = 93,114 : x
  2. Step 2: Convert to fraction form
    42,477/93,114 = 93,114/x
  3. Step 3: Cross multiply
    42,477x = 93,114 × 93,114
  4. Step 4: Simplify right side
    42,477x = 8,670,216,996
  5. Step 5: Solve for x
    x = 8,670,216,996/42,477
  6. Step 6: Final answer
    x = 204,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.