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Finding the Third Proportional to 72,828 and 112,464

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Solution

The third proportional to 72,828 and 112,464 is: 173,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 112,464 = 112,464 : x
  2. Step 2: Convert to fraction form
    72,828/112,464 = 112,464/x
  3. Step 3: Cross multiply
    72,828x = 112,464 × 112,464
  4. Step 4: Simplify right side
    72,828x = 12,648,151,296
  5. Step 5: Solve for x
    x = 12,648,151,296/72,828
  6. Step 6: Final answer
    x = 173,671.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.