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Finding the Third Proportional to 54,943.31 and 112,802.63

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Solution

The third proportional to 54,943.31 and 112,802.63 is: 231,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943.31 : 112,802.63 = 112,802.63 : x
  2. Step 2: Convert to fraction form
    54,943.31/112,802.63 = 112,802.63/x
  3. Step 3: Cross multiply
    54,943.31x = 112,802.63 × 112,802.63
  4. Step 4: Simplify right side
    54,943.31x = 12,724,432,206.89
  5. Step 5: Solve for x
    x = 12,724,432,206.89/54,943.31
  6. Step 6: Final answer
    x = 231,592.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.