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Finding the Third Proportional to 74,088 and 144,447

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Solution

The third proportional to 74,088 and 144,447 is: 281,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 144,447 = 144,447 : x
  2. Step 2: Convert to fraction form
    74,088/144,447 = 144,447/x
  3. Step 3: Cross multiply
    74,088x = 144,447 × 144,447
  4. Step 4: Simplify right side
    74,088x = 20,864,935,809
  5. Step 5: Solve for x
    x = 20,864,935,809/74,088
  6. Step 6: Final answer
    x = 281,623.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.