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Finding the Third Proportional to 75,657 and 164,574

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Solution

The third proportional to 75,657 and 164,574 is: 357,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657 : 164,574 = 164,574 : x
  2. Step 2: Convert to fraction form
    75,657/164,574 = 164,574/x
  3. Step 3: Cross multiply
    75,657x = 164,574 × 164,574
  4. Step 4: Simplify right side
    75,657x = 27,084,601,476
  5. Step 5: Solve for x
    x = 27,084,601,476/75,657
  6. Step 6: Final answer
    x = 357,992.01

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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.