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Finding the Third Proportional to 74,040 and 105,522

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Solution

The third proportional to 74,040 and 105,522 is: 150,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040 : 105,522 = 105,522 : x
  2. Step 2: Convert to fraction form
    74,040/105,522 = 105,522/x
  3. Step 3: Cross multiply
    74,040x = 105,522 × 105,522
  4. Step 4: Simplify right side
    74,040x = 11,134,892,484
  5. Step 5: Solve for x
    x = 11,134,892,484/74,040
  6. Step 6: Final answer
    x = 150,390.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.