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Finding the Third Proportional to 67,148.16 and 104,808.94

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Solution

The third proportional to 67,148.16 and 104,808.94 is: 163,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,148.16 : 104,808.94 = 104,808.94 : x
  2. Step 2: Convert to fraction form
    67,148.16/104,808.94 = 104,808.94/x
  3. Step 3: Cross multiply
    67,148.16x = 104,808.94 × 104,808.94
  4. Step 4: Simplify right side
    67,148.16x = 10,984,913,379.88
  5. Step 5: Solve for x
    x = 10,984,913,379.88/67,148.16
  6. Step 6: Final answer
    x = 163,592.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.