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Finding the Third Proportional to 113,691 and 170,536.50

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Solution

The third proportional to 113,691 and 170,536.50 is: 255,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,691 : 170,536.50 = 170,536.50 : x
  2. Step 2: Convert to fraction form
    113,691/170,536.50 = 170,536.50/x
  3. Step 3: Cross multiply
    113,691x = 170,536.50 × 170,536.50
  4. Step 4: Simplify right side
    113,691x = 29,082,697,832.25
  5. Step 5: Solve for x
    x = 29,082,697,832.25/113,691
  6. Step 6: Final answer
    x = 255,804.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.