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Finding the Third Proportional to 56,802.09 and 123,007.78

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Solution

The third proportional to 56,802.09 and 123,007.78 is: 266,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.09 : 123,007.78 = 123,007.78 : x
  2. Step 2: Convert to fraction form
    56,802.09/123,007.78 = 123,007.78/x
  3. Step 3: Cross multiply
    56,802.09x = 123,007.78 × 123,007.78
  4. Step 4: Simplify right side
    56,802.09x = 15,130,914,248.05
  5. Step 5: Solve for x
    x = 15,130,914,248.05/56,802.09
  6. Step 6: Final answer
    x = 266,379.52

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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.