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Finding the Third Proportional to 52,034 and 122,792

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Solution

The third proportional to 52,034 and 122,792 is: 289,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 122,792 = 122,792 : x
  2. Step 2: Convert to fraction form
    52,034/122,792 = 122,792/x
  3. Step 3: Cross multiply
    52,034x = 122,792 × 122,792
  4. Step 4: Simplify right side
    52,034x = 15,077,875,264
  5. Step 5: Solve for x
    x = 15,077,875,264/52,034
  6. Step 6: Final answer
    x = 289,769.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.