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Finding the Third Proportional to 108,924.75 and 235,056.94

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Solution

The third proportional to 108,924.75 and 235,056.94 is: 507,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,924.75 : 235,056.94 = 235,056.94 : x
  2. Step 2: Convert to fraction form
    108,924.75/235,056.94 = 235,056.94/x
  3. Step 3: Cross multiply
    108,924.75x = 235,056.94 × 235,056.94
  4. Step 4: Simplify right side
    108,924.75x = 55,251,763,866.88
  5. Step 5: Solve for x
    x = 55,251,763,866.88/108,924.75
  6. Step 6: Final answer
    x = 507,247.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.