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Finding the Third Proportional to 102,546.56 and 157,410.84

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Solution

The third proportional to 102,546.56 and 157,410.84 is: 241,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.56 : 157,410.84 = 157,410.84 : x
  2. Step 2: Convert to fraction form
    102,546.56/157,410.84 = 157,410.84/x
  3. Step 3: Cross multiply
    102,546.56x = 157,410.84 × 157,410.84
  4. Step 4: Simplify right side
    102,546.56x = 24,778,173,730.09
  5. Step 5: Solve for x
    x = 24,778,173,730.09/102,546.56
  6. Step 6: Final answer
    x = 241,628.52

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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.