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Finding the Third Proportional to 46,092 and 98,328

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Solution

The third proportional to 46,092 and 98,328 is: 209,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092 : 98,328 = 98,328 : x
  2. Step 2: Convert to fraction form
    46,092/98,328 = 98,328/x
  3. Step 3: Cross multiply
    46,092x = 98,328 × 98,328
  4. Step 4: Simplify right side
    46,092x = 9,668,395,584
  5. Step 5: Solve for x
    x = 9,668,395,584/46,092
  6. Step 6: Final answer
    x = 209,762.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.