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Finding the Third Proportional to 62,004 and 134,310

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Solution

The third proportional to 62,004 and 134,310 is: 290,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,004 : 134,310 = 134,310 : x
  2. Step 2: Convert to fraction form
    62,004/134,310 = 134,310/x
  3. Step 3: Cross multiply
    62,004x = 134,310 × 134,310
  4. Step 4: Simplify right side
    62,004x = 18,039,176,100
  5. Step 5: Solve for x
    x = 18,039,176,100/62,004
  6. Step 6: Final answer
    x = 290,935.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.