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Finding the Third Proportional to 124,896 and 190,454

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Solution

The third proportional to 124,896 and 190,454 is: 290,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,896 : 190,454 = 190,454 : x
  2. Step 2: Convert to fraction form
    124,896/190,454 = 190,454/x
  3. Step 3: Cross multiply
    124,896x = 190,454 × 190,454
  4. Step 4: Simplify right side
    124,896x = 36,272,726,116
  5. Step 5: Solve for x
    x = 36,272,726,116/124,896
  6. Step 6: Final answer
    x = 290,423.44

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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.