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Finding the Third Proportional to 74,796.75 and 114,961.50

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Solution

The third proportional to 74,796.75 and 114,961.50 is: 176,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,796.75 : 114,961.50 = 114,961.50 : x
  2. Step 2: Convert to fraction form
    74,796.75/114,961.50 = 114,961.50/x
  3. Step 3: Cross multiply
    74,796.75x = 114,961.50 × 114,961.50
  4. Step 4: Simplify right side
    74,796.75x = 13,216,146,482.25
  5. Step 5: Solve for x
    x = 13,216,146,482.25/74,796.75
  6. Step 6: Final answer
    x = 176,694.13

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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.