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Finding the Third Proportional to 53,794.50 and 112,015.50

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Solution

The third proportional to 53,794.50 and 112,015.50 is: 233,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.50 : 112,015.50 = 112,015.50 : x
  2. Step 2: Convert to fraction form
    53,794.50/112,015.50 = 112,015.50/x
  3. Step 3: Cross multiply
    53,794.50x = 112,015.50 × 112,015.50
  4. Step 4: Simplify right side
    53,794.50x = 12,547,472,240.25
  5. Step 5: Solve for x
    x = 12,547,472,240.25/53,794.50
  6. Step 6: Final answer
    x = 233,248.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.