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Finding the Third Proportional to 45,498 and 69,696.50

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Solution

The third proportional to 45,498 and 69,696.50 is: 106,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 69,696.50 = 69,696.50 : x
  2. Step 2: Convert to fraction form
    45,498/69,696.50 = 69,696.50/x
  3. Step 3: Cross multiply
    45,498x = 69,696.50 × 69,696.50
  4. Step 4: Simplify right side
    45,498x = 4,857,602,112.25
  5. Step 5: Solve for x
    x = 4,857,602,112.25/45,498
  6. Step 6: Final answer
    x = 106,765.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.