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Finding the Third Proportional to 101,834.72 and 152,068.64

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Solution

The third proportional to 101,834.72 and 152,068.64 is: 227,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,834.72 : 152,068.64 = 152,068.64 : x
  2. Step 2: Convert to fraction form
    101,834.72/152,068.64 = 152,068.64/x
  3. Step 3: Cross multiply
    101,834.72x = 152,068.64 × 152,068.64
  4. Step 4: Simplify right side
    101,834.72x = 23,124,871,461.54
  5. Step 5: Solve for x
    x = 23,124,871,461.54/101,834.72
  6. Step 6: Final answer
    x = 227,082.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.