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Finding the Third Proportional to 48,090 and 105,030

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Solution

The third proportional to 48,090 and 105,030 is: 229,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090 : 105,030 = 105,030 : x
  2. Step 2: Convert to fraction form
    48,090/105,030 = 105,030/x
  3. Step 3: Cross multiply
    48,090x = 105,030 × 105,030
  4. Step 4: Simplify right side
    48,090x = 11,031,300,900
  5. Step 5: Solve for x
    x = 11,031,300,900/48,090
  6. Step 6: Final answer
    x = 229,388.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.