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Finding the Third Proportional to 57,875 and 122,859

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Solution

The third proportional to 57,875 and 122,859 is: 260,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,875 : 122,859 = 122,859 : x
  2. Step 2: Convert to fraction form
    57,875/122,859 = 122,859/x
  3. Step 3: Cross multiply
    57,875x = 122,859 × 122,859
  4. Step 4: Simplify right side
    57,875x = 15,094,333,881
  5. Step 5: Solve for x
    x = 15,094,333,881/57,875
  6. Step 6: Final answer
    x = 260,809.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.