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Finding the Third Proportional to 80,546 and 189,527

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Solution

The third proportional to 80,546 and 189,527 is: 445,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,546 : 189,527 = 189,527 : x
  2. Step 2: Convert to fraction form
    80,546/189,527 = 189,527/x
  3. Step 3: Cross multiply
    80,546x = 189,527 × 189,527
  4. Step 4: Simplify right side
    80,546x = 35,920,483,729
  5. Step 5: Solve for x
    x = 35,920,483,729/80,546
  6. Step 6: Final answer
    x = 445,962.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.