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Finding the Third Proportional to 62,854 and 136,784

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Solution

The third proportional to 62,854 and 136,784 is: 297,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,854 : 136,784 = 136,784 : x
  2. Step 2: Convert to fraction form
    62,854/136,784 = 136,784/x
  3. Step 3: Cross multiply
    62,854x = 136,784 × 136,784
  4. Step 4: Simplify right side
    62,854x = 18,709,862,656
  5. Step 5: Solve for x
    x = 18,709,862,656/62,854
  6. Step 6: Final answer
    x = 297,671.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.