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Finding the Third Proportional to 72,916.50 and 119,065.50

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Solution

The third proportional to 72,916.50 and 119,065.50 is: 194,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916.50 : 119,065.50 = 119,065.50 : x
  2. Step 2: Convert to fraction form
    72,916.50/119,065.50 = 119,065.50/x
  3. Step 3: Cross multiply
    72,916.50x = 119,065.50 × 119,065.50
  4. Step 4: Simplify right side
    72,916.50x = 14,176,593,290.25
  5. Step 5: Solve for x
    x = 14,176,593,290.25/72,916.50
  6. Step 6: Final answer
    x = 194,422.30

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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.