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Finding the Third Proportional to 96,545 and 143,313

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Solution

The third proportional to 96,545 and 143,313 is: 212,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,545 : 143,313 = 143,313 : x
  2. Step 2: Convert to fraction form
    96,545/143,313 = 143,313/x
  3. Step 3: Cross multiply
    96,545x = 143,313 × 143,313
  4. Step 4: Simplify right side
    96,545x = 20,538,615,969
  5. Step 5: Solve for x
    x = 20,538,615,969/96,545
  6. Step 6: Final answer
    x = 212,736.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.