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Finding the Third Proportional to 31,276 and 68,630

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Solution

The third proportional to 31,276 and 68,630 is: 150,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276 : 68,630 = 68,630 : x
  2. Step 2: Convert to fraction form
    31,276/68,630 = 68,630/x
  3. Step 3: Cross multiply
    31,276x = 68,630 × 68,630
  4. Step 4: Simplify right side
    31,276x = 4,710,076,900
  5. Step 5: Solve for x
    x = 4,710,076,900/31,276
  6. Step 6: Final answer
    x = 150,597.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.