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Finding the Third Proportional to 51,644.50 and 109,490

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Solution

The third proportional to 51,644.50 and 109,490 is: 232,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,644.50 : 109,490 = 109,490 : x
  2. Step 2: Convert to fraction form
    51,644.50/109,490 = 109,490/x
  3. Step 3: Cross multiply
    51,644.50x = 109,490 × 109,490
  4. Step 4: Simplify right side
    51,644.50x = 11,988,060,100
  5. Step 5: Solve for x
    x = 11,988,060,100/51,644.50
  6. Step 6: Final answer
    x = 232,126.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.