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Finding the Third Proportional to 52,031.25 and 111,957.75

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Solution

The third proportional to 52,031.25 and 111,957.75 is: 240,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.25 : 111,957.75 = 111,957.75 : x
  2. Step 2: Convert to fraction form
    52,031.25/111,957.75 = 111,957.75/x
  3. Step 3: Cross multiply
    52,031.25x = 111,957.75 × 111,957.75
  4. Step 4: Simplify right side
    52,031.25x = 12,534,537,785.06
  5. Step 5: Solve for x
    x = 12,534,537,785.06/52,031.25
  6. Step 6: Final answer
    x = 240,904.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.