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Finding the Third Proportional to 73,875 and 161,910

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Solution

The third proportional to 73,875 and 161,910 is: 354,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,875 : 161,910 = 161,910 : x
  2. Step 2: Convert to fraction form
    73,875/161,910 = 161,910/x
  3. Step 3: Cross multiply
    73,875x = 161,910 × 161,910
  4. Step 4: Simplify right side
    73,875x = 26,214,848,100
  5. Step 5: Solve for x
    x = 26,214,848,100/73,875
  6. Step 6: Final answer
    x = 354,854.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.