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Finding the Third Proportional to 66,032 and 142,331

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Solution

The third proportional to 66,032 and 142,331 is: 306,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,032 : 142,331 = 142,331 : x
  2. Step 2: Convert to fraction form
    66,032/142,331 = 142,331/x
  3. Step 3: Cross multiply
    66,032x = 142,331 × 142,331
  4. Step 4: Simplify right side
    66,032x = 20,258,113,561
  5. Step 5: Solve for x
    x = 20,258,113,561/66,032
  6. Step 6: Final answer
    x = 306,792.37

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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.