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Finding the Third Proportional to 70,764 and 153,804

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Solution

The third proportional to 70,764 and 153,804 is: 334,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,764 : 153,804 = 153,804 : x
  2. Step 2: Convert to fraction form
    70,764/153,804 = 153,804/x
  3. Step 3: Cross multiply
    70,764x = 153,804 × 153,804
  4. Step 4: Simplify right side
    70,764x = 23,655,670,416
  5. Step 5: Solve for x
    x = 23,655,670,416/70,764
  6. Step 6: Final answer
    x = 334,289.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.