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Finding the Third Proportional to 74,266.88 and 114,620.06

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Solution

The third proportional to 74,266.88 and 114,620.06 is: 176,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266.88 : 114,620.06 = 114,620.06 : x
  2. Step 2: Convert to fraction form
    74,266.88/114,620.06 = 114,620.06/x
  3. Step 3: Cross multiply
    74,266.88x = 114,620.06 × 114,620.06
  4. Step 4: Simplify right side
    74,266.88x = 13,137,758,727.50
  5. Step 5: Solve for x
    x = 13,137,758,727.50/74,266.88
  6. Step 6: Final answer
    x = 176,899.31

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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.