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Finding the Third Proportional to 67,136 and 144,576

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Solution

The third proportional to 67,136 and 144,576 is: 311,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,136 : 144,576 = 144,576 : x
  2. Step 2: Convert to fraction form
    67,136/144,576 = 144,576/x
  3. Step 3: Cross multiply
    67,136x = 144,576 × 144,576
  4. Step 4: Simplify right side
    67,136x = 20,902,219,776
  5. Step 5: Solve for x
    x = 20,902,219,776/67,136
  6. Step 6: Final answer
    x = 311,341.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.