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Finding the Third Proportional to 96,062 and 223,313

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Solution

The third proportional to 96,062 and 223,313 is: 519,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,062 : 223,313 = 223,313 : x
  2. Step 2: Convert to fraction form
    96,062/223,313 = 223,313/x
  3. Step 3: Cross multiply
    96,062x = 223,313 × 223,313
  4. Step 4: Simplify right side
    96,062x = 49,868,695,969
  5. Step 5: Solve for x
    x = 49,868,695,969/96,062
  6. Step 6: Final answer
    x = 519,130.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.