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Finding the Third Proportional to 92,034 and 145,467

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Solution

The third proportional to 92,034 and 145,467 is: 229,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034 : 145,467 = 145,467 : x
  2. Step 2: Convert to fraction form
    92,034/145,467 = 145,467/x
  3. Step 3: Cross multiply
    92,034x = 145,467 × 145,467
  4. Step 4: Simplify right side
    92,034x = 21,160,648,089
  5. Step 5: Solve for x
    x = 21,160,648,089/92,034
  6. Step 6: Final answer
    x = 229,922.07

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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.