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Finding the Third Proportional to 67,624.50 and 105,264

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Solution

The third proportional to 67,624.50 and 105,264 is: 163,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,624.50 : 105,264 = 105,264 : x
  2. Step 2: Convert to fraction form
    67,624.50/105,264 = 105,264/x
  3. Step 3: Cross multiply
    67,624.50x = 105,264 × 105,264
  4. Step 4: Simplify right side
    67,624.50x = 11,080,509,696
  5. Step 5: Solve for x
    x = 11,080,509,696/67,624.50
  6. Step 6: Final answer
    x = 163,853.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.