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Finding the Third Proportional to 72,468 and 108,486

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Solution

The third proportional to 72,468 and 108,486 is: 162,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468 : 108,486 = 108,486 : x
  2. Step 2: Convert to fraction form
    72,468/108,486 = 108,486/x
  3. Step 3: Cross multiply
    72,468x = 108,486 × 108,486
  4. Step 4: Simplify right side
    72,468x = 11,769,212,196
  5. Step 5: Solve for x
    x = 11,769,212,196/72,468
  6. Step 6: Final answer
    x = 162,405.64

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