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Finding the Third Proportional to 53,206.88 and 112,903.88

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Solution

The third proportional to 53,206.88 and 112,903.88 is: 239,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206.88 : 112,903.88 = 112,903.88 : x
  2. Step 2: Convert to fraction form
    53,206.88/112,903.88 = 112,903.88/x
  3. Step 3: Cross multiply
    53,206.88x = 112,903.88 × 112,903.88
  4. Step 4: Simplify right side
    53,206.88x = 12,747,284,990.02
  5. Step 5: Solve for x
    x = 12,747,284,990.02/53,206.88
  6. Step 6: Final answer
    x = 239,579.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.