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Finding the Third Proportional to 73,584 and 160,056

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Solution

The third proportional to 73,584 and 160,056 is: 348,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 160,056 = 160,056 : x
  2. Step 2: Convert to fraction form
    73,584/160,056 = 160,056/x
  3. Step 3: Cross multiply
    73,584x = 160,056 × 160,056
  4. Step 4: Simplify right side
    73,584x = 25,617,923,136
  5. Step 5: Solve for x
    x = 25,617,923,136/73,584
  6. Step 6: Final answer
    x = 348,145.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.