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Finding the Third Proportional to 66,392 and 99,660

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Solution

The third proportional to 66,392 and 99,660 is: 149,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,392 : 99,660 = 99,660 : x
  2. Step 2: Convert to fraction form
    66,392/99,660 = 99,660/x
  3. Step 3: Cross multiply
    66,392x = 99,660 × 99,660
  4. Step 4: Simplify right side
    66,392x = 9,932,115,600
  5. Step 5: Solve for x
    x = 9,932,115,600/66,392
  6. Step 6: Final answer
    x = 149,598.08

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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.