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Finding the Third Proportional to 52,835.25 and 114,477.75

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Solution

The third proportional to 52,835.25 and 114,477.75 is: 248,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.25 : 114,477.75 = 114,477.75 : x
  2. Step 2: Convert to fraction form
    52,835.25/114,477.75 = 114,477.75/x
  3. Step 3: Cross multiply
    52,835.25x = 114,477.75 × 114,477.75
  4. Step 4: Simplify right side
    52,835.25x = 13,105,155,245.06
  5. Step 5: Solve for x
    x = 13,105,155,245.06/52,835.25
  6. Step 6: Final answer
    x = 248,038.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.