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Finding the Third Proportional to 75,323 and 162,313

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Solution

The third proportional to 75,323 and 162,313 is: 349,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,323 : 162,313 = 162,313 : x
  2. Step 2: Convert to fraction form
    75,323/162,313 = 162,313/x
  3. Step 3: Cross multiply
    75,323x = 162,313 × 162,313
  4. Step 4: Simplify right side
    75,323x = 26,345,509,969
  5. Step 5: Solve for x
    x = 26,345,509,969/75,323
  6. Step 6: Final answer
    x = 349,767.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.