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Finding the Third Proportional to 107,901 and 237,216

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Solution

The third proportional to 107,901 and 237,216 is: 521,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,901 : 237,216 = 237,216 : x
  2. Step 2: Convert to fraction form
    107,901/237,216 = 237,216/x
  3. Step 3: Cross multiply
    107,901x = 237,216 × 237,216
  4. Step 4: Simplify right side
    107,901x = 56,271,430,656
  5. Step 5: Solve for x
    x = 56,271,430,656/107,901
  6. Step 6: Final answer
    x = 521,509.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.