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Finding the Third Proportional to 31,670 and 68,362

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Solution

The third proportional to 31,670 and 68,362 is: 147,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670 : 68,362 = 68,362 : x
  2. Step 2: Convert to fraction form
    31,670/68,362 = 68,362/x
  3. Step 3: Cross multiply
    31,670x = 68,362 × 68,362
  4. Step 4: Simplify right side
    31,670x = 4,673,363,044
  5. Step 5: Solve for x
    x = 4,673,363,044/31,670
  6. Step 6: Final answer
    x = 147,564.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.