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Finding the Third Proportional to 45,214 and 93,572

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Solution

The third proportional to 45,214 and 93,572 is: 193,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214 : 93,572 = 93,572 : x
  2. Step 2: Convert to fraction form
    45,214/93,572 = 93,572/x
  3. Step 3: Cross multiply
    45,214x = 93,572 × 93,572
  4. Step 4: Simplify right side
    45,214x = 8,755,719,184
  5. Step 5: Solve for x
    x = 8,755,719,184/45,214
  6. Step 6: Final answer
    x = 193,650.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.