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Finding the Third Proportional to 59,366 and 128,007

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Solution

The third proportional to 59,366 and 128,007 is: 276,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,366 : 128,007 = 128,007 : x
  2. Step 2: Convert to fraction form
    59,366/128,007 = 128,007/x
  3. Step 3: Cross multiply
    59,366x = 128,007 × 128,007
  4. Step 4: Simplify right side
    59,366x = 16,385,792,049
  5. Step 5: Solve for x
    x = 16,385,792,049/59,366
  6. Step 6: Final answer
    x = 276,013.07

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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.