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Finding the Third Proportional to 44,674 and 97,124

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Solution

The third proportional to 44,674 and 97,124 is: 211,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,674 : 97,124 = 97,124 : x
  2. Step 2: Convert to fraction form
    44,674/97,124 = 97,124/x
  3. Step 3: Cross multiply
    44,674x = 97,124 × 97,124
  4. Step 4: Simplify right side
    44,674x = 9,433,071,376
  5. Step 5: Solve for x
    x = 9,433,071,376/44,674
  6. Step 6: Final answer
    x = 211,153.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.