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Finding the Third Proportional to 76,430 and 101,934

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Solution

The third proportional to 76,430 and 101,934 is: 135,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430 : 101,934 = 101,934 : x
  2. Step 2: Convert to fraction form
    76,430/101,934 = 101,934/x
  3. Step 3: Cross multiply
    76,430x = 101,934 × 101,934
  4. Step 4: Simplify right side
    76,430x = 10,390,540,356
  5. Step 5: Solve for x
    x = 10,390,540,356/76,430
  6. Step 6: Final answer
    x = 135,948.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.