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Finding the Third Proportional to 125,464 and 188,178

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Solution

The third proportional to 125,464 and 188,178 is: 282,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,464 : 188,178 = 188,178 : x
  2. Step 2: Convert to fraction form
    125,464/188,178 = 188,178/x
  3. Step 3: Cross multiply
    125,464x = 188,178 × 188,178
  4. Step 4: Simplify right side
    125,464x = 35,410,959,684
  5. Step 5: Solve for x
    x = 35,410,959,684/125,464
  6. Step 6: Final answer
    x = 282,240.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.