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Finding the Third Proportional to 46,486 and 95,724

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Solution

The third proportional to 46,486 and 95,724 is: 197,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486 : 95,724 = 95,724 : x
  2. Step 2: Convert to fraction form
    46,486/95,724 = 95,724/x
  3. Step 3: Cross multiply
    46,486x = 95,724 × 95,724
  4. Step 4: Simplify right side
    46,486x = 9,163,084,176
  5. Step 5: Solve for x
    x = 9,163,084,176/46,486
  6. Step 6: Final answer
    x = 197,114.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.