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Finding the Third Proportional to 45,989 and 98,539

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Solution

The third proportional to 45,989 and 98,539 is: 211,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989 : 98,539 = 98,539 : x
  2. Step 2: Convert to fraction form
    45,989/98,539 = 98,539/x
  3. Step 3: Cross multiply
    45,989x = 98,539 × 98,539
  4. Step 4: Simplify right side
    45,989x = 9,709,934,521
  5. Step 5: Solve for x
    x = 9,709,934,521/45,989
  6. Step 6: Final answer
    x = 211,136.02

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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.