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Finding the Third Proportional to 59,375 and 89,630

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Solution

The third proportional to 59,375 and 89,630 is: 135,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,375 : 89,630 = 89,630 : x
  2. Step 2: Convert to fraction form
    59,375/89,630 = 89,630/x
  3. Step 3: Cross multiply
    59,375x = 89,630 × 89,630
  4. Step 4: Simplify right side
    59,375x = 8,033,536,900
  5. Step 5: Solve for x
    x = 8,033,536,900/59,375
  6. Step 6: Final answer
    x = 135,301.67

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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.