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Finding the Third Proportional to 61,271 and 83,155

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Solution

The third proportional to 61,271 and 83,155 is: 112,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,271 : 83,155 = 83,155 : x
  2. Step 2: Convert to fraction form
    61,271/83,155 = 83,155/x
  3. Step 3: Cross multiply
    61,271x = 83,155 × 83,155
  4. Step 4: Simplify right side
    61,271x = 6,914,754,025
  5. Step 5: Solve for x
    x = 6,914,754,025/61,271
  6. Step 6: Final answer
    x = 112,855.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.