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Finding the Third Proportional to 97,607 and 146,026

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Solution

The third proportional to 97,607 and 146,026 is: 218,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,607 : 146,026 = 146,026 : x
  2. Step 2: Convert to fraction form
    97,607/146,026 = 146,026/x
  3. Step 3: Cross multiply
    97,607x = 146,026 × 146,026
  4. Step 4: Simplify right side
    97,607x = 21,323,592,676
  5. Step 5: Solve for x
    x = 21,323,592,676/97,607
  6. Step 6: Final answer
    x = 218,463.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.