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Finding the Third Proportional to 103,394 and 155,087

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Solution

The third proportional to 103,394 and 155,087 is: 232,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,394 : 155,087 = 155,087 : x
  2. Step 2: Convert to fraction form
    103,394/155,087 = 155,087/x
  3. Step 3: Cross multiply
    103,394x = 155,087 × 155,087
  4. Step 4: Simplify right side
    103,394x = 24,051,977,569
  5. Step 5: Solve for x
    x = 24,051,977,569/103,394
  6. Step 6: Final answer
    x = 232,624.50

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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.