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Finding the Third Proportional to 66,023 and 142,567

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Solution

The third proportional to 66,023 and 142,567 is: 307,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,023 : 142,567 = 142,567 : x
  2. Step 2: Convert to fraction form
    66,023/142,567 = 142,567/x
  3. Step 3: Cross multiply
    66,023x = 142,567 × 142,567
  4. Step 4: Simplify right side
    66,023x = 20,325,349,489
  5. Step 5: Solve for x
    x = 20,325,349,489/66,023
  6. Step 6: Final answer
    x = 307,852.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.