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Finding the Third Proportional to 107,664 and 161,532

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Solution

The third proportional to 107,664 and 161,532 is: 242,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664 : 161,532 = 161,532 : x
  2. Step 2: Convert to fraction form
    107,664/161,532 = 161,532/x
  3. Step 3: Cross multiply
    107,664x = 161,532 × 161,532
  4. Step 4: Simplify right side
    107,664x = 26,092,587,024
  5. Step 5: Solve for x
    x = 26,092,587,024/107,664
  6. Step 6: Final answer
    x = 242,352.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.