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Finding the Third Proportional to 50,547.50 and 108,195

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Solution

The third proportional to 50,547.50 and 108,195 is: 231,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.50 : 108,195 = 108,195 : x
  2. Step 2: Convert to fraction form
    50,547.50/108,195 = 108,195/x
  3. Step 3: Cross multiply
    50,547.50x = 108,195 × 108,195
  4. Step 4: Simplify right side
    50,547.50x = 11,706,158,025
  5. Step 5: Solve for x
    x = 11,706,158,025/50,547.50
  6. Step 6: Final answer
    x = 231,587.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.