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Finding the Third Proportional to 70,497 and 158,745

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Solution

The third proportional to 70,497 and 158,745 is: 357,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497 : 158,745 = 158,745 : x
  2. Step 2: Convert to fraction form
    70,497/158,745 = 158,745/x
  3. Step 3: Cross multiply
    70,497x = 158,745 × 158,745
  4. Step 4: Simplify right side
    70,497x = 25,199,975,025
  5. Step 5: Solve for x
    x = 25,199,975,025/70,497
  6. Step 6: Final answer
    x = 357,461.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.