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Finding the Third Proportional to 46,251 and 95,784

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Solution

The third proportional to 46,251 and 95,784 is: 198,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251 : 95,784 = 95,784 : x
  2. Step 2: Convert to fraction form
    46,251/95,784 = 95,784/x
  3. Step 3: Cross multiply
    46,251x = 95,784 × 95,784
  4. Step 4: Simplify right side
    46,251x = 9,174,574,656
  5. Step 5: Solve for x
    x = 9,174,574,656/46,251
  6. Step 6: Final answer
    x = 198,364.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.