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Finding the Third Proportional to 58,411.13 and 136,763.44

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Solution

The third proportional to 58,411.13 and 136,763.44 is: 320,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,411.13 : 136,763.44 = 136,763.44 : x
  2. Step 2: Convert to fraction form
    58,411.13/136,763.44 = 136,763.44/x
  3. Step 3: Cross multiply
    58,411.13x = 136,763.44 × 136,763.44
  4. Step 4: Simplify right side
    58,411.13x = 18,704,237,836.82
  5. Step 5: Solve for x
    x = 18,704,237,836.82/58,411.13
  6. Step 6: Final answer
    x = 320,217.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.