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Finding the Third Proportional to 84,749.50 and 115,100.50

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Solution

The third proportional to 84,749.50 and 115,100.50 is: 156,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,749.50 : 115,100.50 = 115,100.50 : x
  2. Step 2: Convert to fraction form
    84,749.50/115,100.50 = 115,100.50/x
  3. Step 3: Cross multiply
    84,749.50x = 115,100.50 × 115,100.50
  4. Step 4: Simplify right side
    84,749.50x = 13,248,125,100.25
  5. Step 5: Solve for x
    x = 13,248,125,100.25/84,749.50
  6. Step 6: Final answer
    x = 156,320.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.