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Finding the Third Proportional to 72,498 and 110,914

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Solution

The third proportional to 72,498 and 110,914 is: 169,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498 : 110,914 = 110,914 : x
  2. Step 2: Convert to fraction form
    72,498/110,914 = 110,914/x
  3. Step 3: Cross multiply
    72,498x = 110,914 × 110,914
  4. Step 4: Simplify right side
    72,498x = 12,301,915,396
  5. Step 5: Solve for x
    x = 12,301,915,396/72,498
  6. Step 6: Final answer
    x = 169,686.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.