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Finding the Third Proportional to 72,913.50 and 119,061

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Solution

The third proportional to 72,913.50 and 119,061 is: 194,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,913.50 : 119,061 = 119,061 : x
  2. Step 2: Convert to fraction form
    72,913.50/119,061 = 119,061/x
  3. Step 3: Cross multiply
    72,913.50x = 119,061 × 119,061
  4. Step 4: Simplify right side
    72,913.50x = 14,175,521,721
  5. Step 5: Solve for x
    x = 14,175,521,721/72,913.50
  6. Step 6: Final answer
    x = 194,415.60

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.