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Finding the Third Proportional to 52,708.22 and 114,771.94

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Solution

The third proportional to 52,708.22 and 114,771.94 is: 249,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.22 : 114,771.94 = 114,771.94 : x
  2. Step 2: Convert to fraction form
    52,708.22/114,771.94 = 114,771.94/x
  3. Step 3: Cross multiply
    52,708.22x = 114,771.94 × 114,771.94
  4. Step 4: Simplify right side
    52,708.22x = 13,172,597,637.50
  5. Step 5: Solve for x
    x = 13,172,597,637.50/52,708.22
  6. Step 6: Final answer
    x = 249,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.