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Finding the Third Proportional to 46,752 and 72,192

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Solution

The third proportional to 46,752 and 72,192 is: 111,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 72,192 = 72,192 : x
  2. Step 2: Convert to fraction form
    46,752/72,192 = 72,192/x
  3. Step 3: Cross multiply
    46,752x = 72,192 × 72,192
  4. Step 4: Simplify right side
    46,752x = 5,211,684,864
  5. Step 5: Solve for x
    x = 5,211,684,864/46,752
  6. Step 6: Final answer
    x = 111,475.12

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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.