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Finding the Third Proportional to 50,239 and 108,365

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Solution

The third proportional to 50,239 and 108,365 is: 233,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,239 : 108,365 = 108,365 : x
  2. Step 2: Convert to fraction form
    50,239/108,365 = 108,365/x
  3. Step 3: Cross multiply
    50,239x = 108,365 × 108,365
  4. Step 4: Simplify right side
    50,239x = 11,742,973,225
  5. Step 5: Solve for x
    x = 11,742,973,225/50,239
  6. Step 6: Final answer
    x = 233,742.18

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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.