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Finding the Third Proportional to 60,592 and 128,576

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Solution

The third proportional to 60,592 and 128,576 is: 272,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,592 : 128,576 = 128,576 : x
  2. Step 2: Convert to fraction form
    60,592/128,576 = 128,576/x
  3. Step 3: Cross multiply
    60,592x = 128,576 × 128,576
  4. Step 4: Simplify right side
    60,592x = 16,531,787,776
  5. Step 5: Solve for x
    x = 16,531,787,776/60,592
  6. Step 6: Final answer
    x = 272,837.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.