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Finding the Third Proportional to 98,858 and 154,371

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Solution

The third proportional to 98,858 and 154,371 is: 241,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858 : 154,371 = 154,371 : x
  2. Step 2: Convert to fraction form
    98,858/154,371 = 154,371/x
  3. Step 3: Cross multiply
    98,858x = 154,371 × 154,371
  4. Step 4: Simplify right side
    98,858x = 23,830,405,641
  5. Step 5: Solve for x
    x = 23,830,405,641/98,858
  6. Step 6: Final answer
    x = 241,056.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.