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Finding the Third Proportional to 98,904 and 155,039

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Solution

The third proportional to 98,904 and 155,039 is: 243,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,904 : 155,039 = 155,039 : x
  2. Step 2: Convert to fraction form
    98,904/155,039 = 155,039/x
  3. Step 3: Cross multiply
    98,904x = 155,039 × 155,039
  4. Step 4: Simplify right side
    98,904x = 24,037,091,521
  5. Step 5: Solve for x
    x = 24,037,091,521/98,904
  6. Step 6: Final answer
    x = 243,034.57

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Why These Related Problems?

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