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Finding the Third Proportional to 127,540.50 and 278,043

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Solution

The third proportional to 127,540.50 and 278,043 is: 606,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,540.50 : 278,043 = 278,043 : x
  2. Step 2: Convert to fraction form
    127,540.50/278,043 = 278,043/x
  3. Step 3: Cross multiply
    127,540.50x = 278,043 × 278,043
  4. Step 4: Simplify right side
    127,540.50x = 77,307,909,849
  5. Step 5: Solve for x
    x = 77,307,909,849/127,540.50
  6. Step 6: Final answer
    x = 606,144.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.