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Finding the Third Proportional to 53,988.19 and 126,123.56

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Solution

The third proportional to 53,988.19 and 126,123.56 is: 294,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,988.19 : 126,123.56 = 126,123.56 : x
  2. Step 2: Convert to fraction form
    53,988.19/126,123.56 = 126,123.56/x
  3. Step 3: Cross multiply
    53,988.19x = 126,123.56 × 126,123.56
  4. Step 4: Simplify right side
    53,988.19x = 15,907,153,017.69
  5. Step 5: Solve for x
    x = 15,907,153,017.69/53,988.19
  6. Step 6: Final answer
    x = 294,641.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.