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Finding the Third Proportional to 53,448.75 and 112,905

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Solution

The third proportional to 53,448.75 and 112,905 is: 238,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448.75 : 112,905 = 112,905 : x
  2. Step 2: Convert to fraction form
    53,448.75/112,905 = 112,905/x
  3. Step 3: Cross multiply
    53,448.75x = 112,905 × 112,905
  4. Step 4: Simplify right side
    53,448.75x = 12,747,539,025
  5. Step 5: Solve for x
    x = 12,747,539,025/53,448.75
  6. Step 6: Final answer
    x = 238,500.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.