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Finding the Third Proportional to 89,681 and 144,499

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Solution

The third proportional to 89,681 and 144,499 is: 232,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,681 : 144,499 = 144,499 : x
  2. Step 2: Convert to fraction form
    89,681/144,499 = 144,499/x
  3. Step 3: Cross multiply
    89,681x = 144,499 × 144,499
  4. Step 4: Simplify right side
    89,681x = 20,879,961,001
  5. Step 5: Solve for x
    x = 20,879,961,001/89,681
  6. Step 6: Final answer
    x = 232,824.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.