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Finding the Third Proportional to 75,258 and 164,509

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Solution

The third proportional to 75,258 and 164,509 is: 359,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 164,509 = 164,509 : x
  2. Step 2: Convert to fraction form
    75,258/164,509 = 164,509/x
  3. Step 3: Cross multiply
    75,258x = 164,509 × 164,509
  4. Step 4: Simplify right side
    75,258x = 27,063,211,081
  5. Step 5: Solve for x
    x = 27,063,211,081/75,258
  6. Step 6: Final answer
    x = 359,605.77

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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.