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Finding the Third Proportional to 66,176 and 141,586

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Solution

The third proportional to 66,176 and 141,586 is: 302,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176 : 141,586 = 141,586 : x
  2. Step 2: Convert to fraction form
    66,176/141,586 = 141,586/x
  3. Step 3: Cross multiply
    66,176x = 141,586 × 141,586
  4. Step 4: Simplify right side
    66,176x = 20,046,595,396
  5. Step 5: Solve for x
    x = 20,046,595,396/66,176
  6. Step 6: Final answer
    x = 302,928.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.