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Finding the Third Proportional to 42,730 and 93,505

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Solution

The third proportional to 42,730 and 93,505 is: 204,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,730 : 93,505 = 93,505 : x
  2. Step 2: Convert to fraction form
    42,730/93,505 = 93,505/x
  3. Step 3: Cross multiply
    42,730x = 93,505 × 93,505
  4. Step 4: Simplify right side
    42,730x = 8,743,185,025
  5. Step 5: Solve for x
    x = 8,743,185,025/42,730
  6. Step 6: Final answer
    x = 204,614.67

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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.