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Finding the Third Proportional to 34,346 and 75,253

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Solution

The third proportional to 34,346 and 75,253 is: 164,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 75,253 = 75,253 : x
  2. Step 2: Convert to fraction form
    34,346/75,253 = 75,253/x
  3. Step 3: Cross multiply
    34,346x = 75,253 × 75,253
  4. Step 4: Simplify right side
    34,346x = 5,663,014,009
  5. Step 5: Solve for x
    x = 5,663,014,009/34,346
  6. Step 6: Final answer
    x = 164,881.33

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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.