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Finding the Third Proportional to 42,512 and 93,410

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Solution

The third proportional to 42,512 and 93,410 is: 205,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512 : 93,410 = 93,410 : x
  2. Step 2: Convert to fraction form
    42,512/93,410 = 93,410/x
  3. Step 3: Cross multiply
    42,512x = 93,410 × 93,410
  4. Step 4: Simplify right side
    42,512x = 8,725,428,100
  5. Step 5: Solve for x
    x = 8,725,428,100/42,512
  6. Step 6: Final answer
    x = 205,246.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.