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Finding the Third Proportional to 98,136 and 155,648

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Solution

The third proportional to 98,136 and 155,648 is: 246,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136 : 155,648 = 155,648 : x
  2. Step 2: Convert to fraction form
    98,136/155,648 = 155,648/x
  3. Step 3: Cross multiply
    98,136x = 155,648 × 155,648
  4. Step 4: Simplify right side
    98,136x = 24,226,299,904
  5. Step 5: Solve for x
    x = 24,226,299,904/98,136
  6. Step 6: Final answer
    x = 246,864.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.