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Finding the Third Proportional to 70,848 and 94,464

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Solution

The third proportional to 70,848 and 94,464 is: 125,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 94,464 = 94,464 : x
  2. Step 2: Convert to fraction form
    70,848/94,464 = 94,464/x
  3. Step 3: Cross multiply
    70,848x = 94,464 × 94,464
  4. Step 4: Simplify right side
    70,848x = 8,923,447,296
  5. Step 5: Solve for x
    x = 8,923,447,296/70,848
  6. Step 6: Final answer
    x = 125,952

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.