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Finding the Third Proportional to 70,724 and 155,056

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Solution

The third proportional to 70,724 and 155,056 is: 339,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724 : 155,056 = 155,056 : x
  2. Step 2: Convert to fraction form
    70,724/155,056 = 155,056/x
  3. Step 3: Cross multiply
    70,724x = 155,056 × 155,056
  4. Step 4: Simplify right side
    70,724x = 24,042,363,136
  5. Step 5: Solve for x
    x = 24,042,363,136/70,724
  6. Step 6: Final answer
    x = 339,946.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.