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Finding the Third Proportional to 59,486 and 128,772

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Solution

The third proportional to 59,486 and 128,772 is: 278,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,486 : 128,772 = 128,772 : x
  2. Step 2: Convert to fraction form
    59,486/128,772 = 128,772/x
  3. Step 3: Cross multiply
    59,486x = 128,772 × 128,772
  4. Step 4: Simplify right side
    59,486x = 16,582,227,984
  5. Step 5: Solve for x
    x = 16,582,227,984/59,486
  6. Step 6: Final answer
    x = 278,758.50

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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.