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Finding the Third Proportional to 97,154 and 146,427

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Solution

The third proportional to 97,154 and 146,427 is: 220,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,154 : 146,427 = 146,427 : x
  2. Step 2: Convert to fraction form
    97,154/146,427 = 146,427/x
  3. Step 3: Cross multiply
    97,154x = 146,427 × 146,427
  4. Step 4: Simplify right side
    97,154x = 21,440,866,329
  5. Step 5: Solve for x
    x = 21,440,866,329/97,154
  6. Step 6: Final answer
    x = 220,689.49

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Why These Related Problems?

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