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Finding the Third Proportional to 97,324 and 146,682

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Solution

The third proportional to 97,324 and 146,682 is: 221,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324 : 146,682 = 146,682 : x
  2. Step 2: Convert to fraction form
    97,324/146,682 = 146,682/x
  3. Step 3: Cross multiply
    97,324x = 146,682 × 146,682
  4. Step 4: Simplify right side
    97,324x = 21,515,609,124
  5. Step 5: Solve for x
    x = 21,515,609,124/97,324
  6. Step 6: Final answer
    x = 221,071.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.