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Finding the Third Proportional to 85,882.50 and 118,670.63

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Solution

The third proportional to 85,882.50 and 118,670.63 is: 163,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882.50 : 118,670.63 = 118,670.63 : x
  2. Step 2: Convert to fraction form
    85,882.50/118,670.63 = 118,670.63/x
  3. Step 3: Cross multiply
    85,882.50x = 118,670.63 × 118,670.63
  4. Step 4: Simplify right side
    85,882.50x = 14,082,717,237.89
  5. Step 5: Solve for x
    x = 14,082,717,237.89/85,882.50
  6. Step 6: Final answer
    x = 163,976.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.