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Finding the Third Proportional to 78,468.75 and 114,056.44

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Solution

The third proportional to 78,468.75 and 114,056.44 is: 165,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.75 : 114,056.44 = 114,056.44 : x
  2. Step 2: Convert to fraction form
    78,468.75/114,056.44 = 114,056.44/x
  3. Step 3: Cross multiply
    78,468.75x = 114,056.44 × 114,056.44
  4. Step 4: Simplify right side
    78,468.75x = 13,008,870,935.19
  5. Step 5: Solve for x
    x = 13,008,870,935.19/78,468.75
  6. Step 6: Final answer
    x = 165,784.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.