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Finding the Third Proportional to 34,365 and 75,399

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Solution

The third proportional to 34,365 and 75,399 is: 165,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,365 : 75,399 = 75,399 : x
  2. Step 2: Convert to fraction form
    34,365/75,399 = 75,399/x
  3. Step 3: Cross multiply
    34,365x = 75,399 × 75,399
  4. Step 4: Simplify right side
    34,365x = 5,685,009,201
  5. Step 5: Solve for x
    x = 5,685,009,201/34,365
  6. Step 6: Final answer
    x = 165,430.21

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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.