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Finding the Third Proportional to 72,914 and 112,477

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Solution

The third proportional to 72,914 and 112,477 is: 173,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,914 : 112,477 = 112,477 : x
  2. Step 2: Convert to fraction form
    72,914/112,477 = 112,477/x
  3. Step 3: Cross multiply
    72,914x = 112,477 × 112,477
  4. Step 4: Simplify right side
    72,914x = 12,651,075,529
  5. Step 5: Solve for x
    x = 12,651,075,529/72,914
  6. Step 6: Final answer
    x = 173,506.81

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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.