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Finding the Third Proportional to 92,039 and 145,475

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Solution

The third proportional to 92,039 and 145,475 is: 229,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,039 : 145,475 = 145,475 : x
  2. Step 2: Convert to fraction form
    92,039/145,475 = 145,475/x
  3. Step 3: Cross multiply
    92,039x = 145,475 × 145,475
  4. Step 4: Simplify right side
    92,039x = 21,162,975,625
  5. Step 5: Solve for x
    x = 21,162,975,625/92,039
  6. Step 6: Final answer
    x = 229,934.87

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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.