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Finding the Third Proportional to 70,178 and 107,863

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Solution

The third proportional to 70,178 and 107,863 is: 165,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178 : 107,863 = 107,863 : x
  2. Step 2: Convert to fraction form
    70,178/107,863 = 107,863/x
  3. Step 3: Cross multiply
    70,178x = 107,863 × 107,863
  4. Step 4: Simplify right side
    70,178x = 11,634,426,769
  5. Step 5: Solve for x
    x = 11,634,426,769/70,178
  6. Step 6: Final answer
    x = 165,784.53

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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.