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Finding the Third Proportional to 69,154.50 and 106,803

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Solution

The third proportional to 69,154.50 and 106,803 is: 164,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,154.50 : 106,803 = 106,803 : x
  2. Step 2: Convert to fraction form
    69,154.50/106,803 = 106,803/x
  3. Step 3: Cross multiply
    69,154.50x = 106,803 × 106,803
  4. Step 4: Simplify right side
    69,154.50x = 11,406,880,809
  5. Step 5: Solve for x
    x = 11,406,880,809/69,154.50
  6. Step 6: Final answer
    x = 164,947.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.