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Finding the Third Proportional to 53,886.94 and 81,582.19

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Solution

The third proportional to 53,886.94 and 81,582.19 is: 123,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.94 : 81,582.19 = 81,582.19 : x
  2. Step 2: Convert to fraction form
    53,886.94/81,582.19 = 81,582.19/x
  3. Step 3: Cross multiply
    53,886.94x = 81,582.19 × 81,582.19
  4. Step 4: Simplify right side
    53,886.94x = 6,655,653,317.29
  5. Step 5: Solve for x
    x = 6,655,653,317.29/53,886.94
  6. Step 6: Final answer
    x = 123,511.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.