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Finding the Third Proportional to 53,957.25 and 110,056.50

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Solution

The third proportional to 53,957.25 and 110,056.50 is: 224,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957.25 : 110,056.50 = 110,056.50 : x
  2. Step 2: Convert to fraction form
    53,957.25/110,056.50 = 110,056.50/x
  3. Step 3: Cross multiply
    53,957.25x = 110,056.50 × 110,056.50
  4. Step 4: Simplify right side
    53,957.25x = 12,112,433,192.25
  5. Step 5: Solve for x
    x = 12,112,433,192.25/53,957.25
  6. Step 6: Final answer
    x = 224,482.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.