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Finding the Third Proportional to 49,976 and 105,528

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Solution

The third proportional to 49,976 and 105,528 is: 222,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,976 : 105,528 = 105,528 : x
  2. Step 2: Convert to fraction form
    49,976/105,528 = 105,528/x
  3. Step 3: Cross multiply
    49,976x = 105,528 × 105,528
  4. Step 4: Simplify right side
    49,976x = 11,136,158,784
  5. Step 5: Solve for x
    x = 11,136,158,784/49,976
  6. Step 6: Final answer
    x = 222,830.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.