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Finding the Third Proportional to 103,362 and 155,044

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Solution

The third proportional to 103,362 and 155,044 is: 232,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,362 : 155,044 = 155,044 : x
  2. Step 2: Convert to fraction form
    103,362/155,044 = 155,044/x
  3. Step 3: Cross multiply
    103,362x = 155,044 × 155,044
  4. Step 4: Simplify right side
    103,362x = 24,038,641,936
  5. Step 5: Solve for x
    x = 24,038,641,936/103,362
  6. Step 6: Final answer
    x = 232,567.50

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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.