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Finding the Third Proportional to 94,470 and 141,462

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Solution

The third proportional to 94,470 and 141,462 is: 211,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,470 : 141,462 = 141,462 : x
  2. Step 2: Convert to fraction form
    94,470/141,462 = 141,462/x
  3. Step 3: Cross multiply
    94,470x = 141,462 × 141,462
  4. Step 4: Simplify right side
    94,470x = 20,011,497,444
  5. Step 5: Solve for x
    x = 20,011,497,444/94,470
  6. Step 6: Final answer
    x = 211,829.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.