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Finding the Third Proportional to 58,364 and 89,004

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Solution

The third proportional to 58,364 and 89,004 is: 135,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,364 : 89,004 = 89,004 : x
  2. Step 2: Convert to fraction form
    58,364/89,004 = 89,004/x
  3. Step 3: Cross multiply
    58,364x = 89,004 × 89,004
  4. Step 4: Simplify right side
    58,364x = 7,921,712,016
  5. Step 5: Solve for x
    x = 7,921,712,016/58,364
  6. Step 6: Final answer
    x = 135,729.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.