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Finding the Third Proportional to 52,658 and 112,732

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Solution

The third proportional to 52,658 and 112,732 is: 241,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658 : 112,732 = 112,732 : x
  2. Step 2: Convert to fraction form
    52,658/112,732 = 112,732/x
  3. Step 3: Cross multiply
    52,658x = 112,732 × 112,732
  4. Step 4: Simplify right side
    52,658x = 12,708,503,824
  5. Step 5: Solve for x
    x = 12,708,503,824/52,658
  6. Step 6: Final answer
    x = 241,340.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.