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Finding the Third Proportional to 46,008 and 98,573

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Solution

The third proportional to 46,008 and 98,573 is: 211,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008 : 98,573 = 98,573 : x
  2. Step 2: Convert to fraction form
    46,008/98,573 = 98,573/x
  3. Step 3: Cross multiply
    46,008x = 98,573 × 98,573
  4. Step 4: Simplify right side
    46,008x = 9,716,636,329
  5. Step 5: Solve for x
    x = 9,716,636,329/46,008
  6. Step 6: Final answer
    x = 211,194.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.