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Finding the Third Proportional to 44,848 and 94,342

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Solution

The third proportional to 44,848 and 94,342 is: 198,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,848 : 94,342 = 94,342 : x
  2. Step 2: Convert to fraction form
    44,848/94,342 = 94,342/x
  3. Step 3: Cross multiply
    44,848x = 94,342 × 94,342
  4. Step 4: Simplify right side
    44,848x = 8,900,412,964
  5. Step 5: Solve for x
    x = 8,900,412,964/44,848
  6. Step 6: Final answer
    x = 198,457.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.