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Finding the Third Proportional to 70,852 and 99,066

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Solution

The third proportional to 70,852 and 99,066 is: 138,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852 : 99,066 = 99,066 : x
  2. Step 2: Convert to fraction form
    70,852/99,066 = 99,066/x
  3. Step 3: Cross multiply
    70,852x = 99,066 × 99,066
  4. Step 4: Simplify right side
    70,852x = 9,814,072,356
  5. Step 5: Solve for x
    x = 9,814,072,356/70,852
  6. Step 6: Final answer
    x = 138,515.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.