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Finding the Third Proportional to 40,903.50 and 88,251

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Solution

The third proportional to 40,903.50 and 88,251 is: 190,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,903.50 : 88,251 = 88,251 : x
  2. Step 2: Convert to fraction form
    40,903.50/88,251 = 88,251/x
  3. Step 3: Cross multiply
    40,903.50x = 88,251 × 88,251
  4. Step 4: Simplify right side
    40,903.50x = 7,788,239,001
  5. Step 5: Solve for x
    x = 7,788,239,001/40,903.50
  6. Step 6: Final answer
    x = 190,405.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.