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Finding the Third Proportional to 74,420 and 101,056

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Solution

The third proportional to 74,420 and 101,056 is: 137,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,420 : 101,056 = 101,056 : x
  2. Step 2: Convert to fraction form
    74,420/101,056 = 101,056/x
  3. Step 3: Cross multiply
    74,420x = 101,056 × 101,056
  4. Step 4: Simplify right side
    74,420x = 10,212,315,136
  5. Step 5: Solve for x
    x = 10,212,315,136/74,420
  6. Step 6: Final answer
    x = 137,225.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.