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Finding the Third Proportional to 41,547 and 88,923

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Solution

The third proportional to 41,547 and 88,923 is: 190,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547 : 88,923 = 88,923 : x
  2. Step 2: Convert to fraction form
    41,547/88,923 = 88,923/x
  3. Step 3: Cross multiply
    41,547x = 88,923 × 88,923
  4. Step 4: Simplify right side
    41,547x = 7,907,299,929
  5. Step 5: Solve for x
    x = 7,907,299,929/41,547
  6. Step 6: Final answer
    x = 190,321.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.