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Finding the Third Proportional to 45,900 and 72,810

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Solution

The third proportional to 45,900 and 72,810 is: 115,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,900 : 72,810 = 72,810 : x
  2. Step 2: Convert to fraction form
    45,900/72,810 = 72,810/x
  3. Step 3: Cross multiply
    45,900x = 72,810 × 72,810
  4. Step 4: Simplify right side
    45,900x = 5,301,296,100
  5. Step 5: Solve for x
    x = 5,301,296,100/45,900
  6. Step 6: Final answer
    x = 115,496.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.