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Finding the Third Proportional to 42,914 and 93,214

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Solution

The third proportional to 42,914 and 93,214 is: 202,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,914 : 93,214 = 93,214 : x
  2. Step 2: Convert to fraction form
    42,914/93,214 = 93,214/x
  3. Step 3: Cross multiply
    42,914x = 93,214 × 93,214
  4. Step 4: Simplify right side
    42,914x = 8,688,849,796
  5. Step 5: Solve for x
    x = 8,688,849,796/42,914
  6. Step 6: Final answer
    x = 202,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.