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Finding the Third Proportional to 66,271 and 142,430

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Solution

The third proportional to 66,271 and 142,430 is: 306,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,271 : 142,430 = 142,430 : x
  2. Step 2: Convert to fraction form
    66,271/142,430 = 142,430/x
  3. Step 3: Cross multiply
    66,271x = 142,430 × 142,430
  4. Step 4: Simplify right side
    66,271x = 20,286,304,900
  5. Step 5: Solve for x
    x = 20,286,304,900/66,271
  6. Step 6: Final answer
    x = 306,111.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.