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Finding the Third Proportional to 89,946 and 126,015

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Solution

The third proportional to 89,946 and 126,015 is: 176,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,946 : 126,015 = 126,015 : x
  2. Step 2: Convert to fraction form
    89,946/126,015 = 126,015/x
  3. Step 3: Cross multiply
    89,946x = 126,015 × 126,015
  4. Step 4: Simplify right side
    89,946x = 15,879,780,225
  5. Step 5: Solve for x
    x = 15,879,780,225/89,946
  6. Step 6: Final answer
    x = 176,547.93

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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.