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Finding the Third Proportional to 56,840 and 118,312

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Solution

The third proportional to 56,840 and 118,312 is: 246,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,840 : 118,312 = 118,312 : x
  2. Step 2: Convert to fraction form
    56,840/118,312 = 118,312/x
  3. Step 3: Cross multiply
    56,840x = 118,312 × 118,312
  4. Step 4: Simplify right side
    56,840x = 13,997,729,344
  5. Step 5: Solve for x
    x = 13,997,729,344/56,840
  6. Step 6: Final answer
    x = 246,265.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.