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Finding the Third Proportional to 35,214.12 and 73,196.16

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Solution

The third proportional to 35,214.12 and 73,196.16 is: 152,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.12 : 73,196.16 = 73,196.16 : x
  2. Step 2: Convert to fraction form
    35,214.12/73,196.16 = 73,196.16/x
  3. Step 3: Cross multiply
    35,214.12x = 73,196.16 × 73,196.16
  4. Step 4: Simplify right side
    35,214.12x = 5,357,677,289.77
  5. Step 5: Solve for x
    x = 5,357,677,289.77/35,214.12
  6. Step 6: Final answer
    x = 152,145.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.