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Finding the Third Proportional to 66,548 and 145,600

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Solution

The third proportional to 66,548 and 145,600 is: 318,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,548 : 145,600 = 145,600 : x
  2. Step 2: Convert to fraction form
    66,548/145,600 = 145,600/x
  3. Step 3: Cross multiply
    66,548x = 145,600 × 145,600
  4. Step 4: Simplify right side
    66,548x = 21,199,360,000
  5. Step 5: Solve for x
    x = 21,199,360,000/66,548
  6. Step 6: Final answer
    x = 318,557.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.