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Finding the Third Proportional to 107,913 and 237,243

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Solution

The third proportional to 107,913 and 237,243 is: 521,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913 : 237,243 = 237,243 : x
  2. Step 2: Convert to fraction form
    107,913/237,243 = 237,243/x
  3. Step 3: Cross multiply
    107,913x = 237,243 × 237,243
  4. Step 4: Simplify right side
    107,913x = 56,284,241,049
  5. Step 5: Solve for x
    x = 56,284,241,049/107,913
  6. Step 6: Final answer
    x = 521,570.53

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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.