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Finding the Third Proportional to 73,048.08 and 114,185.32

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Solution

The third proportional to 73,048.08 and 114,185.32 is: 178,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,048.08 : 114,185.32 = 114,185.32 : x
  2. Step 2: Convert to fraction form
    73,048.08/114,185.32 = 114,185.32/x
  3. Step 3: Cross multiply
    73,048.08x = 114,185.32 × 114,185.32
  4. Step 4: Simplify right side
    73,048.08x = 13,038,287,374.87
  5. Step 5: Solve for x
    x = 13,038,287,374.87/73,048.08
  6. Step 6: Final answer
    x = 178,489.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.