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Finding the Third Proportional to 65,484 and 142,056

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Solution

The third proportional to 65,484 and 142,056 is: 308,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484 : 142,056 = 142,056 : x
  2. Step 2: Convert to fraction form
    65,484/142,056 = 142,056/x
  3. Step 3: Cross multiply
    65,484x = 142,056 × 142,056
  4. Step 4: Simplify right side
    65,484x = 20,179,907,136
  5. Step 5: Solve for x
    x = 20,179,907,136/65,484
  6. Step 6: Final answer
    x = 308,165.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.