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Finding the Third Proportional to 102,536.44 and 160,524.84

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Solution

The third proportional to 102,536.44 and 160,524.84 is: 251,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536.44 : 160,524.84 = 160,524.84 : x
  2. Step 2: Convert to fraction form
    102,536.44/160,524.84 = 160,524.84/x
  3. Step 3: Cross multiply
    102,536.44x = 160,524.84 × 160,524.84
  4. Step 4: Simplify right side
    102,536.44x = 25,768,225,460.96
  5. Step 5: Solve for x
    x = 25,768,225,460.96/102,536.44
  6. Step 6: Final answer
    x = 251,307.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.