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Finding the Third Proportional to 74,533.50 and 115,141.50

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Solution

The third proportional to 74,533.50 and 115,141.50 is: 177,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,533.50 : 115,141.50 = 115,141.50 : x
  2. Step 2: Convert to fraction form
    74,533.50/115,141.50 = 115,141.50/x
  3. Step 3: Cross multiply
    74,533.50x = 115,141.50 × 115,141.50
  4. Step 4: Simplify right side
    74,533.50x = 13,257,565,022.25
  5. Step 5: Solve for x
    x = 13,257,565,022.25/74,533.50
  6. Step 6: Final answer
    x = 177,873.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.