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Finding the Third Proportional to 102,235.25 and 155,192.25

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Solution

The third proportional to 102,235.25 and 155,192.25 is: 235,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.25 : 155,192.25 = 155,192.25 : x
  2. Step 2: Convert to fraction form
    102,235.25/155,192.25 = 155,192.25/x
  3. Step 3: Cross multiply
    102,235.25x = 155,192.25 × 155,192.25
  4. Step 4: Simplify right side
    102,235.25x = 24,084,634,460.06
  5. Step 5: Solve for x
    x = 24,084,634,460.06/102,235.25
  6. Step 6: Final answer
    x = 235,580.53

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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.