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Finding the Third Proportional to 46,749 and 72,522

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Solution

The third proportional to 46,749 and 72,522 is: 112,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,749 : 72,522 = 72,522 : x
  2. Step 2: Convert to fraction form
    46,749/72,522 = 72,522/x
  3. Step 3: Cross multiply
    46,749x = 72,522 × 72,522
  4. Step 4: Simplify right side
    46,749x = 5,259,440,484
  5. Step 5: Solve for x
    x = 5,259,440,484/46,749
  6. Step 6: Final answer
    x = 112,503.81

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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.