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Finding the Third Proportional to 70,440 and 102,996

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Solution

The third proportional to 70,440 and 102,996 is: 150,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,440 : 102,996 = 102,996 : x
  2. Step 2: Convert to fraction form
    70,440/102,996 = 102,996/x
  3. Step 3: Cross multiply
    70,440x = 102,996 × 102,996
  4. Step 4: Simplify right side
    70,440x = 10,608,176,016
  5. Step 5: Solve for x
    x = 10,608,176,016/70,440
  6. Step 6: Final answer
    x = 150,598.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.