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Finding the Third Proportional to 103,698 and 155,943

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Solution

The third proportional to 103,698 and 155,943 is: 234,510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 155,943 = 155,943 : x
  2. Step 2: Convert to fraction form
    103,698/155,943 = 155,943/x
  3. Step 3: Cross multiply
    103,698x = 155,943 × 155,943
  4. Step 4: Simplify right side
    103,698x = 24,318,219,249
  5. Step 5: Solve for x
    x = 24,318,219,249/103,698
  6. Step 6: Final answer
    x = 234,510.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.