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Finding the Third Proportional to 68,655 and 148,524

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Solution

The third proportional to 68,655 and 148,524 is: 321,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,655 : 148,524 = 148,524 : x
  2. Step 2: Convert to fraction form
    68,655/148,524 = 148,524/x
  3. Step 3: Cross multiply
    68,655x = 148,524 × 148,524
  4. Step 4: Simplify right side
    68,655x = 22,059,378,576
  5. Step 5: Solve for x
    x = 22,059,378,576/68,655
  6. Step 6: Final answer
    x = 321,307.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.