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Finding the Third Proportional to 134,895.50 and 197,969

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Solution

The third proportional to 134,895.50 and 197,969 is: 290,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,895.50 : 197,969 = 197,969 : x
  2. Step 2: Convert to fraction form
    134,895.50/197,969 = 197,969/x
  3. Step 3: Cross multiply
    134,895.50x = 197,969 × 197,969
  4. Step 4: Simplify right side
    134,895.50x = 39,191,724,961
  5. Step 5: Solve for x
    x = 39,191,724,961/134,895.50
  6. Step 6: Final answer
    x = 290,533.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.