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Finding the Third Proportional to 46,539 and 98,334

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Solution

The third proportional to 46,539 and 98,334 is: 207,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,539 : 98,334 = 98,334 : x
  2. Step 2: Convert to fraction form
    46,539/98,334 = 98,334/x
  3. Step 3: Cross multiply
    46,539x = 98,334 × 98,334
  4. Step 4: Simplify right side
    46,539x = 9,669,575,556
  5. Step 5: Solve for x
    x = 9,669,575,556/46,539
  6. Step 6: Final answer
    x = 207,773.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.