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Finding the Third Proportional to 71,526.38 and 113,234.63

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Solution

The third proportional to 71,526.38 and 113,234.63 is: 179,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526.38 : 113,234.63 = 113,234.63 : x
  2. Step 2: Convert to fraction form
    71,526.38/113,234.63 = 113,234.63/x
  3. Step 3: Cross multiply
    71,526.38x = 113,234.63 × 113,234.63
  4. Step 4: Simplify right side
    71,526.38x = 12,822,080,298.89
  5. Step 5: Solve for x
    x = 12,822,080,298.89/71,526.38
  6. Step 6: Final answer
    x = 179,263.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.