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Finding the Third Proportional to 72,684 and 112,584

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Solution

The third proportional to 72,684 and 112,584 is: 174,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,684 : 112,584 = 112,584 : x
  2. Step 2: Convert to fraction form
    72,684/112,584 = 112,584/x
  3. Step 3: Cross multiply
    72,684x = 112,584 × 112,584
  4. Step 4: Simplify right side
    72,684x = 12,675,157,056
  5. Step 5: Solve for x
    x = 12,675,157,056/72,684
  6. Step 6: Final answer
    x = 174,387.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.