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Finding the Third Proportional to 32,308 and 68,341

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Solution

The third proportional to 32,308 and 68,341 is: 144,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308 : 68,341 = 68,341 : x
  2. Step 2: Convert to fraction form
    32,308/68,341 = 68,341/x
  3. Step 3: Cross multiply
    32,308x = 68,341 × 68,341
  4. Step 4: Simplify right side
    32,308x = 4,670,492,281
  5. Step 5: Solve for x
    x = 4,670,492,281/32,308
  6. Step 6: Final answer
    x = 144,561.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.