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Finding the Third Proportional to 124,460 and 188,998

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Solution

The third proportional to 124,460 and 188,998 is: 287,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,460 : 188,998 = 188,998 : x
  2. Step 2: Convert to fraction form
    124,460/188,998 = 188,998/x
  3. Step 3: Cross multiply
    124,460x = 188,998 × 188,998
  4. Step 4: Simplify right side
    124,460x = 35,720,244,004
  5. Step 5: Solve for x
    x = 35,720,244,004/124,460
  6. Step 6: Final answer
    x = 287,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.