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Finding the Third Proportional to 103,772 and 155,659

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Solution

The third proportional to 103,772 and 155,659 is: 233,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772 : 155,659 = 155,659 : x
  2. Step 2: Convert to fraction form
    103,772/155,659 = 155,659/x
  3. Step 3: Cross multiply
    103,772x = 155,659 × 155,659
  4. Step 4: Simplify right side
    103,772x = 24,229,724,281
  5. Step 5: Solve for x
    x = 24,229,724,281/103,772
  6. Step 6: Final answer
    x = 233,490.00

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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.