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Finding the Third Proportional to 79,726 and 111,459

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Solution

The third proportional to 79,726 and 111,459 is: 155,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,726 : 111,459 = 111,459 : x
  2. Step 2: Convert to fraction form
    79,726/111,459 = 111,459/x
  3. Step 3: Cross multiply
    79,726x = 111,459 × 111,459
  4. Step 4: Simplify right side
    79,726x = 12,423,108,681
  5. Step 5: Solve for x
    x = 12,423,108,681/79,726
  6. Step 6: Final answer
    x = 155,822.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.