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Finding the Third Proportional to 34,160 and 72,033

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Solution

The third proportional to 34,160 and 72,033 is: 151,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,160 : 72,033 = 72,033 : x
  2. Step 2: Convert to fraction form
    34,160/72,033 = 72,033/x
  3. Step 3: Cross multiply
    34,160x = 72,033 × 72,033
  4. Step 4: Simplify right side
    34,160x = 5,188,753,089
  5. Step 5: Solve for x
    x = 5,188,753,089/34,160
  6. Step 6: Final answer
    x = 151,895.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.