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Finding the Third Proportional to 34,140 and 74,533

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Solution

The third proportional to 34,140 and 74,533 is: 162,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140 : 74,533 = 74,533 : x
  2. Step 2: Convert to fraction form
    34,140/74,533 = 74,533/x
  3. Step 3: Cross multiply
    34,140x = 74,533 × 74,533
  4. Step 4: Simplify right side
    34,140x = 5,555,168,089
  5. Step 5: Solve for x
    x = 5,555,168,089/34,140
  6. Step 6: Final answer
    x = 162,717.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.