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Finding the Third Proportional to 89,946 and 136,539

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Solution

The third proportional to 89,946 and 136,539 is: 207,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,946 : 136,539 = 136,539 : x
  2. Step 2: Convert to fraction form
    89,946/136,539 = 136,539/x
  3. Step 3: Cross multiply
    89,946x = 136,539 × 136,539
  4. Step 4: Simplify right side
    89,946x = 18,642,898,521
  5. Step 5: Solve for x
    x = 18,642,898,521/89,946
  6. Step 6: Final answer
    x = 207,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.