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Finding the Third Proportional to 55,084 and 74,321

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Solution

The third proportional to 55,084 and 74,321 is: 100,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,084 : 74,321 = 74,321 : x
  2. Step 2: Convert to fraction form
    55,084/74,321 = 74,321/x
  3. Step 3: Cross multiply
    55,084x = 74,321 × 74,321
  4. Step 4: Simplify right side
    55,084x = 5,523,611,041
  5. Step 5: Solve for x
    x = 5,523,611,041/55,084
  6. Step 6: Final answer
    x = 100,276.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.