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Finding the Third Proportional to 81,745.50 and 112,572

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Solution

The third proportional to 81,745.50 and 112,572 is: 155,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.50 : 112,572 = 112,572 : x
  2. Step 2: Convert to fraction form
    81,745.50/112,572 = 112,572/x
  3. Step 3: Cross multiply
    81,745.50x = 112,572 × 112,572
  4. Step 4: Simplify right side
    81,745.50x = 12,672,455,184
  5. Step 5: Solve for x
    x = 12,672,455,184/81,745.50
  6. Step 6: Final answer
    x = 155,023.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.