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Finding the Third Proportional to 52,997 and 112,312

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Solution

The third proportional to 52,997 and 112,312 is: 238,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,997 : 112,312 = 112,312 : x
  2. Step 2: Convert to fraction form
    52,997/112,312 = 112,312/x
  3. Step 3: Cross multiply
    52,997x = 112,312 × 112,312
  4. Step 4: Simplify right side
    52,997x = 12,613,985,344
  5. Step 5: Solve for x
    x = 12,613,985,344/52,997
  6. Step 6: Final answer
    x = 238,013.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.