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Finding the Third Proportional to 100,696.50 and 141,156

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Solution

The third proportional to 100,696.50 and 141,156 is: 197,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.50 : 141,156 = 141,156 : x
  2. Step 2: Convert to fraction form
    100,696.50/141,156 = 141,156/x
  3. Step 3: Cross multiply
    100,696.50x = 141,156 × 141,156
  4. Step 4: Simplify right side
    100,696.50x = 19,925,016,336
  5. Step 5: Solve for x
    x = 19,925,016,336/100,696.50
  6. Step 6: Final answer
    x = 197,871.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.