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Finding the Third Proportional to 132,064 and 275,070

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Solution

The third proportional to 132,064 and 275,070 is: 572,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,064 : 275,070 = 275,070 : x
  2. Step 2: Convert to fraction form
    132,064/275,070 = 275,070/x
  3. Step 3: Cross multiply
    132,064x = 275,070 × 275,070
  4. Step 4: Simplify right side
    132,064x = 75,663,504,900
  5. Step 5: Solve for x
    x = 75,663,504,900/132,064
  6. Step 6: Final answer
    x = 572,930.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.