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Finding the Third Proportional to 102,015.88 and 155,280.75

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Solution

The third proportional to 102,015.88 and 155,280.75 is: 236,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.88 : 155,280.75 = 155,280.75 : x
  2. Step 2: Convert to fraction form
    102,015.88/155,280.75 = 155,280.75/x
  3. Step 3: Cross multiply
    102,015.88x = 155,280.75 × 155,280.75
  4. Step 4: Simplify right side
    102,015.88x = 24,112,111,320.56
  5. Step 5: Solve for x
    x = 24,112,111,320.56/102,015.88
  6. Step 6: Final answer
    x = 236,356.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.