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Finding the Third Proportional to 49,383.25 and 116,528

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Solution

The third proportional to 49,383.25 and 116,528 is: 274,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383.25 : 116,528 = 116,528 : x
  2. Step 2: Convert to fraction form
    49,383.25/116,528 = 116,528/x
  3. Step 3: Cross multiply
    49,383.25x = 116,528 × 116,528
  4. Step 4: Simplify right side
    49,383.25x = 13,578,774,784
  5. Step 5: Solve for x
    x = 13,578,774,784/49,383.25
  6. Step 6: Final answer
    x = 274,967.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.