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Finding the Third Proportional to 77,430 and 167,532

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Solution

The third proportional to 77,430 and 167,532 is: 362,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430 : 167,532 = 167,532 : x
  2. Step 2: Convert to fraction form
    77,430/167,532 = 167,532/x
  3. Step 3: Cross multiply
    77,430x = 167,532 × 167,532
  4. Step 4: Simplify right side
    77,430x = 28,066,971,024
  5. Step 5: Solve for x
    x = 28,066,971,024/77,430
  6. Step 6: Final answer
    x = 362,481.87

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