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Finding the Third Proportional to 63,084 and 94,894

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Solution

The third proportional to 63,084 and 94,894 is: 142,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,084 : 94,894 = 94,894 : x
  2. Step 2: Convert to fraction form
    63,084/94,894 = 94,894/x
  3. Step 3: Cross multiply
    63,084x = 94,894 × 94,894
  4. Step 4: Simplify right side
    63,084x = 9,004,871,236
  5. Step 5: Solve for x
    x = 9,004,871,236/63,084
  6. Step 6: Final answer
    x = 142,744.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.