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Finding the Third Proportional to 127,316.81 and 276,539.06

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Solution

The third proportional to 127,316.81 and 276,539.06 is: 600,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,316.81 : 276,539.06 = 276,539.06 : x
  2. Step 2: Convert to fraction form
    127,316.81/276,539.06 = 276,539.06/x
  3. Step 3: Cross multiply
    127,316.81x = 276,539.06 × 276,539.06
  4. Step 4: Simplify right side
    127,316.81x = 76,473,853,088.38
  5. Step 5: Solve for x
    x = 76,473,853,088.38/127,316.81
  6. Step 6: Final answer
    x = 600,657.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.