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Finding the Third Proportional to 53,612.25 and 114,586.50

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Solution

The third proportional to 53,612.25 and 114,586.50 is: 244,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,612.25 : 114,586.50 = 114,586.50 : x
  2. Step 2: Convert to fraction form
    53,612.25/114,586.50 = 114,586.50/x
  3. Step 3: Cross multiply
    53,612.25x = 114,586.50 × 114,586.50
  4. Step 4: Simplify right side
    53,612.25x = 13,130,065,982.25
  5. Step 5: Solve for x
    x = 13,130,065,982.25/53,612.25
  6. Step 6: Final answer
    x = 244,907.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.