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Finding the Third Proportional to 62,346 and 134,534

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Solution

The third proportional to 62,346 and 134,534 is: 290,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,346 : 134,534 = 134,534 : x
  2. Step 2: Convert to fraction form
    62,346/134,534 = 134,534/x
  3. Step 3: Cross multiply
    62,346x = 134,534 × 134,534
  4. Step 4: Simplify right side
    62,346x = 18,099,397,156
  5. Step 5: Solve for x
    x = 18,099,397,156/62,346
  6. Step 6: Final answer
    x = 290,305.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.