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Finding the Third Proportional to 54,886.50 and 112,365

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Solution

The third proportional to 54,886.50 and 112,365 is: 230,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886.50 : 112,365 = 112,365 : x
  2. Step 2: Convert to fraction form
    54,886.50/112,365 = 112,365/x
  3. Step 3: Cross multiply
    54,886.50x = 112,365 × 112,365
  4. Step 4: Simplify right side
    54,886.50x = 12,625,893,225
  5. Step 5: Solve for x
    x = 12,625,893,225/54,886.50
  6. Step 6: Final answer
    x = 230,036.41

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