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Finding the Third Proportional to 40,025 and 93,501

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Solution

The third proportional to 40,025 and 93,501 is: 218,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,025 : 93,501 = 93,501 : x
  2. Step 2: Convert to fraction form
    40,025/93,501 = 93,501/x
  3. Step 3: Cross multiply
    40,025x = 93,501 × 93,501
  4. Step 4: Simplify right side
    40,025x = 8,742,437,001
  5. Step 5: Solve for x
    x = 8,742,437,001/40,025
  6. Step 6: Final answer
    x = 218,424.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.