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Finding the Third Proportional to 70,946 and 111,315

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Solution

The third proportional to 70,946 and 111,315 is: 174,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946 : 111,315 = 111,315 : x
  2. Step 2: Convert to fraction form
    70,946/111,315 = 111,315/x
  3. Step 3: Cross multiply
    70,946x = 111,315 × 111,315
  4. Step 4: Simplify right side
    70,946x = 12,391,029,225
  5. Step 5: Solve for x
    x = 12,391,029,225/70,946
  6. Step 6: Final answer
    x = 174,654.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.