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Finding the Third Proportional to 74,061 and 120,325.50

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Solution

The third proportional to 74,061 and 120,325.50 is: 195,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061 : 120,325.50 = 120,325.50 : x
  2. Step 2: Convert to fraction form
    74,061/120,325.50 = 120,325.50/x
  3. Step 3: Cross multiply
    74,061x = 120,325.50 × 120,325.50
  4. Step 4: Simplify right side
    74,061x = 14,478,225,950.25
  5. Step 5: Solve for x
    x = 14,478,225,950.25/74,061
  6. Step 6: Final answer
    x = 195,490.55

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.