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Finding the Third Proportional to 32,930 and 72,106

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Solution

The third proportional to 32,930 and 72,106 is: 157,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930 : 72,106 = 72,106 : x
  2. Step 2: Convert to fraction form
    32,930/72,106 = 72,106/x
  3. Step 3: Cross multiply
    32,930x = 72,106 × 72,106
  4. Step 4: Simplify right side
    32,930x = 5,199,275,236
  5. Step 5: Solve for x
    x = 5,199,275,236/32,930
  6. Step 6: Final answer
    x = 157,888.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.