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Finding the Third Proportional to 70,561.18 and 102,874.43

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Solution

The third proportional to 70,561.18 and 102,874.43 is: 149,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,561.18 : 102,874.43 = 102,874.43 : x
  2. Step 2: Convert to fraction form
    70,561.18/102,874.43 = 102,874.43/x
  3. Step 3: Cross multiply
    70,561.18x = 102,874.43 × 102,874.43
  4. Step 4: Simplify right side
    70,561.18x = 10,583,148,283.53
  5. Step 5: Solve for x
    x = 10,583,148,283.53/70,561.18
  6. Step 6: Final answer
    x = 149,985.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.