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Finding the Third Proportional to 44,065 and 70,935

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Solution

The third proportional to 44,065 and 70,935 is: 114,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,065 : 70,935 = 70,935 : x
  2. Step 2: Convert to fraction form
    44,065/70,935 = 70,935/x
  3. Step 3: Cross multiply
    44,065x = 70,935 × 70,935
  4. Step 4: Simplify right side
    44,065x = 5,031,774,225
  5. Step 5: Solve for x
    x = 5,031,774,225/44,065
  6. Step 6: Final answer
    x = 114,189.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.