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Finding the Third Proportional to 124,281.56 and 194,419.41

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Solution

The third proportional to 124,281.56 and 194,419.41 is: 304,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,281.56 : 194,419.41 = 194,419.41 : x
  2. Step 2: Convert to fraction form
    124,281.56/194,419.41 = 194,419.41/x
  3. Step 3: Cross multiply
    124,281.56x = 194,419.41 × 194,419.41
  4. Step 4: Simplify right side
    124,281.56x = 37,798,905,526.60
  5. Step 5: Solve for x
    x = 37,798,905,526.60/124,281.56
  6. Step 6: Final answer
    x = 304,139.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.