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Finding the Third Proportional to 37,155 and 72,447

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Solution

The third proportional to 37,155 and 72,447 is: 141,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155 : 72,447 = 72,447 : x
  2. Step 2: Convert to fraction form
    37,155/72,447 = 72,447/x
  3. Step 3: Cross multiply
    37,155x = 72,447 × 72,447
  4. Step 4: Simplify right side
    37,155x = 5,248,567,809
  5. Step 5: Solve for x
    x = 5,248,567,809/37,155
  6. Step 6: Final answer
    x = 141,261.41

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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.