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Finding the Third Proportional to 56,960.50 and 86,290

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Solution

The third proportional to 56,960.50 and 86,290 is: 130,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,960.50 : 86,290 = 86,290 : x
  2. Step 2: Convert to fraction form
    56,960.50/86,290 = 86,290/x
  3. Step 3: Cross multiply
    56,960.50x = 86,290 × 86,290
  4. Step 4: Simplify right side
    56,960.50x = 7,445,964,100
  5. Step 5: Solve for x
    x = 7,445,964,100/56,960.50
  6. Step 6: Final answer
    x = 130,721.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.