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Finding the Third Proportional to 88,040 and 189,770

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Solution

The third proportional to 88,040 and 189,770 is: 409,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,040 : 189,770 = 189,770 : x
  2. Step 2: Convert to fraction form
    88,040/189,770 = 189,770/x
  3. Step 3: Cross multiply
    88,040x = 189,770 × 189,770
  4. Step 4: Simplify right side
    88,040x = 36,012,652,900
  5. Step 5: Solve for x
    x = 36,012,652,900/88,040
  6. Step 6: Final answer
    x = 409,048.76

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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.