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Finding the Third Proportional to 55,430 and 86,004

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Solution

The third proportional to 55,430 and 86,004 is: 133,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,430 : 86,004 = 86,004 : x
  2. Step 2: Convert to fraction form
    55,430/86,004 = 86,004/x
  3. Step 3: Cross multiply
    55,430x = 86,004 × 86,004
  4. Step 4: Simplify right side
    55,430x = 7,396,688,016
  5. Step 5: Solve for x
    x = 7,396,688,016/55,430
  6. Step 6: Final answer
    x = 133,441.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.