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Finding the Third Proportional to 39,464 and 83,365

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Solution

The third proportional to 39,464 and 83,365 is: 176,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464 : 83,365 = 83,365 : x
  2. Step 2: Convert to fraction form
    39,464/83,365 = 83,365/x
  3. Step 3: Cross multiply
    39,464x = 83,365 × 83,365
  4. Step 4: Simplify right side
    39,464x = 6,949,723,225
  5. Step 5: Solve for x
    x = 6,949,723,225/39,464
  6. Step 6: Final answer
    x = 176,102.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.