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Finding the Third Proportional to 48,943 and 93,997

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Solution

The third proportional to 48,943 and 93,997 is: 180,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,943 : 93,997 = 93,997 : x
  2. Step 2: Convert to fraction form
    48,943/93,997 = 93,997/x
  3. Step 3: Cross multiply
    48,943x = 93,997 × 93,997
  4. Step 4: Simplify right side
    48,943x = 8,835,436,009
  5. Step 5: Solve for x
    x = 8,835,436,009/48,943
  6. Step 6: Final answer
    x = 180,525.02

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.