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Finding the Third Proportional to 35,142 and 75,306

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Solution

The third proportional to 35,142 and 75,306 is: 161,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142 : 75,306 = 75,306 : x
  2. Step 2: Convert to fraction form
    35,142/75,306 = 75,306/x
  3. Step 3: Cross multiply
    35,142x = 75,306 × 75,306
  4. Step 4: Simplify right side
    35,142x = 5,670,993,636
  5. Step 5: Solve for x
    x = 5,670,993,636/35,142
  6. Step 6: Final answer
    x = 161,373.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.