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Finding the Third Proportional to 125,562 and 193,878

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Solution

The third proportional to 125,562 and 193,878 is: 299,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,562 : 193,878 = 193,878 : x
  2. Step 2: Convert to fraction form
    125,562/193,878 = 193,878/x
  3. Step 3: Cross multiply
    125,562x = 193,878 × 193,878
  4. Step 4: Simplify right side
    125,562x = 37,588,678,884
  5. Step 5: Solve for x
    x = 37,588,678,884/125,562
  6. Step 6: Final answer
    x = 299,363.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.