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Finding the Third Proportional to 62,810 and 85,290

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Solution

The third proportional to 62,810 and 85,290 is: 115,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,810 : 85,290 = 85,290 : x
  2. Step 2: Convert to fraction form
    62,810/85,290 = 85,290/x
  3. Step 3: Cross multiply
    62,810x = 85,290 × 85,290
  4. Step 4: Simplify right side
    62,810x = 7,274,384,100
  5. Step 5: Solve for x
    x = 7,274,384,100/62,810
  6. Step 6: Final answer
    x = 115,815.70

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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.