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Finding the Third Proportional to 66,559 and 145,399

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Solution

The third proportional to 66,559 and 145,399 is: 317,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,559 : 145,399 = 145,399 : x
  2. Step 2: Convert to fraction form
    66,559/145,399 = 145,399/x
  3. Step 3: Cross multiply
    66,559x = 145,399 × 145,399
  4. Step 4: Simplify right side
    66,559x = 21,140,869,201
  5. Step 5: Solve for x
    x = 21,140,869,201/66,559
  6. Step 6: Final answer
    x = 317,626.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.