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Finding the Third Proportional to 74,428 and 104,108

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Solution

The third proportional to 74,428 and 104,108 is: 145,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,428 : 104,108 = 104,108 : x
  2. Step 2: Convert to fraction form
    74,428/104,108 = 104,108/x
  3. Step 3: Cross multiply
    74,428x = 104,108 × 104,108
  4. Step 4: Simplify right side
    74,428x = 10,838,475,664
  5. Step 5: Solve for x
    x = 10,838,475,664/74,428
  6. Step 6: Final answer
    x = 145,623.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.