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Finding the Third Proportional to 112,752 and 267,117.75

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Solution

The third proportional to 112,752 and 267,117.75 is: 632,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,752 : 267,117.75 = 267,117.75 : x
  2. Step 2: Convert to fraction form
    112,752/267,117.75 = 267,117.75/x
  3. Step 3: Cross multiply
    112,752x = 267,117.75 × 267,117.75
  4. Step 4: Simplify right side
    112,752x = 71,351,892,365.06
  5. Step 5: Solve for x
    x = 71,351,892,365.06/112,752
  6. Step 6: Final answer
    x = 632,821.52

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.