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Finding the Third Proportional to 40,020 and 85,970

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Solution

The third proportional to 40,020 and 85,970 is: 184,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,020 : 85,970 = 85,970 : x
  2. Step 2: Convert to fraction form
    40,020/85,970 = 85,970/x
  3. Step 3: Cross multiply
    40,020x = 85,970 × 85,970
  4. Step 4: Simplify right side
    40,020x = 7,390,840,900
  5. Step 5: Solve for x
    x = 7,390,840,900/40,020
  6. Step 6: Final answer
    x = 184,678.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.