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Finding the Third Proportional to 62,004 and 137,784

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Solution

The third proportional to 62,004 and 137,784 is: 306,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,004 : 137,784 = 137,784 : x
  2. Step 2: Convert to fraction form
    62,004/137,784 = 137,784/x
  3. Step 3: Cross multiply
    62,004x = 137,784 × 137,784
  4. Step 4: Simplify right side
    62,004x = 18,984,430,656
  5. Step 5: Solve for x
    x = 18,984,430,656/62,004
  6. Step 6: Final answer
    x = 306,180.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.