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Finding the Third Proportional to 75,748 and 164,360

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Solution

The third proportional to 75,748 and 164,360 is: 356,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748 : 164,360 = 164,360 : x
  2. Step 2: Convert to fraction form
    75,748/164,360 = 164,360/x
  3. Step 3: Cross multiply
    75,748x = 164,360 × 164,360
  4. Step 4: Simplify right side
    75,748x = 27,014,209,600
  5. Step 5: Solve for x
    x = 27,014,209,600/75,748
  6. Step 6: Final answer
    x = 356,632.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.