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Finding the Third Proportional to 92,049 and 145,491

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Solution

The third proportional to 92,049 and 145,491 is: 229,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,049 : 145,491 = 145,491 : x
  2. Step 2: Convert to fraction form
    92,049/145,491 = 145,491/x
  3. Step 3: Cross multiply
    92,049x = 145,491 × 145,491
  4. Step 4: Simplify right side
    92,049x = 21,167,631,081
  5. Step 5: Solve for x
    x = 21,167,631,081/92,049
  6. Step 6: Final answer
    x = 229,960.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.