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Finding the Third Proportional to 84,159 and 108,337.50

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Solution

The third proportional to 84,159 and 108,337.50 is: 139,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 108,337.50 = 108,337.50 : x
  2. Step 2: Convert to fraction form
    84,159/108,337.50 = 108,337.50/x
  3. Step 3: Cross multiply
    84,159x = 108,337.50 × 108,337.50
  4. Step 4: Simplify right side
    84,159x = 11,737,013,906.25
  5. Step 5: Solve for x
    x = 11,737,013,906.25/84,159
  6. Step 6: Final answer
    x = 139,462.37

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.