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Finding the Third Proportional to 42,648 and 93,060

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Solution

The third proportional to 42,648 and 93,060 is: 203,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648 : 93,060 = 93,060 : x
  2. Step 2: Convert to fraction form
    42,648/93,060 = 93,060/x
  3. Step 3: Cross multiply
    42,648x = 93,060 × 93,060
  4. Step 4: Simplify right side
    42,648x = 8,660,163,600
  5. Step 5: Solve for x
    x = 8,660,163,600/42,648
  6. Step 6: Final answer
    x = 203,061.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.