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Finding the Third Proportional to 64,402 and 98,524

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Solution

The third proportional to 64,402 and 98,524 is: 150,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,402 : 98,524 = 98,524 : x
  2. Step 2: Convert to fraction form
    64,402/98,524 = 98,524/x
  3. Step 3: Cross multiply
    64,402x = 98,524 × 98,524
  4. Step 4: Simplify right side
    64,402x = 9,706,978,576
  5. Step 5: Solve for x
    x = 9,706,978,576/64,402
  6. Step 6: Final answer
    x = 150,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.