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Finding the Third Proportional to 32,319 and 68,363

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Solution

The third proportional to 32,319 and 68,363 is: 144,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 68,363 = 68,363 : x
  2. Step 2: Convert to fraction form
    32,319/68,363 = 68,363/x
  3. Step 3: Cross multiply
    32,319x = 68,363 × 68,363
  4. Step 4: Simplify right side
    32,319x = 4,673,499,769
  5. Step 5: Solve for x
    x = 4,673,499,769/32,319
  6. Step 6: Final answer
    x = 144,605.33

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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.