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Finding the Third Proportional to 124,820 and 271,888

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Solution

The third proportional to 124,820 and 271,888 is: 592,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,820 : 271,888 = 271,888 : x
  2. Step 2: Convert to fraction form
    124,820/271,888 = 271,888/x
  3. Step 3: Cross multiply
    124,820x = 271,888 × 271,888
  4. Step 4: Simplify right side
    124,820x = 73,923,084,544
  5. Step 5: Solve for x
    x = 73,923,084,544/124,820
  6. Step 6: Final answer
    x = 592,237.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.