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Finding the Third Proportional to 73,568.50 and 116,572

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Solution

The third proportional to 73,568.50 and 116,572 is: 184,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,568.50 : 116,572 = 116,572 : x
  2. Step 2: Convert to fraction form
    73,568.50/116,572 = 116,572/x
  3. Step 3: Cross multiply
    73,568.50x = 116,572 × 116,572
  4. Step 4: Simplify right side
    73,568.50x = 13,589,031,184
  5. Step 5: Solve for x
    x = 13,589,031,184/73,568.50
  6. Step 6: Final answer
    x = 184,712.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.