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Finding the Third Proportional to 102,557.25 and 155,205

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Solution

The third proportional to 102,557.25 and 155,205 is: 234,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.25 : 155,205 = 155,205 : x
  2. Step 2: Convert to fraction form
    102,557.25/155,205 = 155,205/x
  3. Step 3: Cross multiply
    102,557.25x = 155,205 × 155,205
  4. Step 4: Simplify right side
    102,557.25x = 24,088,592,025
  5. Step 5: Solve for x
    x = 24,088,592,025/102,557.25
  6. Step 6: Final answer
    x = 234,879.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.