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Finding the Third Proportional to 59,071.78 and 79,586.30

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Solution

The third proportional to 59,071.78 and 79,586.30 is: 107,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,071.78 : 79,586.30 = 79,586.30 : x
  2. Step 2: Convert to fraction form
    59,071.78/79,586.30 = 79,586.30/x
  3. Step 3: Cross multiply
    59,071.78x = 79,586.30 × 79,586.30
  4. Step 4: Simplify right side
    59,071.78x = 6,333,978,650.28
  5. Step 5: Solve for x
    x = 6,333,978,650.28/59,071.78
  6. Step 6: Final answer
    x = 107,225.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.