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Finding the Third Proportional to 43,848 and 93,534

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Solution

The third proportional to 43,848 and 93,534 is: 199,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,848 : 93,534 = 93,534 : x
  2. Step 2: Convert to fraction form
    43,848/93,534 = 93,534/x
  3. Step 3: Cross multiply
    43,848x = 93,534 × 93,534
  4. Step 4: Simplify right side
    43,848x = 8,748,609,156
  5. Step 5: Solve for x
    x = 8,748,609,156/43,848
  6. Step 6: Final answer
    x = 199,521.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.