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Finding the Third Proportional to 34,459 and 75,070

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Solution

The third proportional to 34,459 and 75,070 is: 163,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,459 : 75,070 = 75,070 : x
  2. Step 2: Convert to fraction form
    34,459/75,070 = 75,070/x
  3. Step 3: Cross multiply
    34,459x = 75,070 × 75,070
  4. Step 4: Simplify right side
    34,459x = 5,635,504,900
  5. Step 5: Solve for x
    x = 5,635,504,900/34,459
  6. Step 6: Final answer
    x = 163,542.32

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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.