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Finding the Third Proportional to 52,878 and 77,853

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Solution

The third proportional to 52,878 and 77,853 is: 114,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878 : 77,853 = 77,853 : x
  2. Step 2: Convert to fraction form
    52,878/77,853 = 77,853/x
  3. Step 3: Cross multiply
    52,878x = 77,853 × 77,853
  4. Step 4: Simplify right side
    52,878x = 6,061,089,609
  5. Step 5: Solve for x
    x = 6,061,089,609/52,878
  6. Step 6: Final answer
    x = 114,624.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.