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Finding the Third Proportional to 52,920.42 and 114,466.92

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Solution

The third proportional to 52,920.42 and 114,466.92 is: 247,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920.42 : 114,466.92 = 114,466.92 : x
  2. Step 2: Convert to fraction form
    52,920.42/114,466.92 = 114,466.92/x
  3. Step 3: Cross multiply
    52,920.42x = 114,466.92 × 114,466.92
  4. Step 4: Simplify right side
    52,920.42x = 13,102,676,203.54
  5. Step 5: Solve for x
    x = 13,102,676,203.54/52,920.42
  6. Step 6: Final answer
    x = 247,592.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.