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Finding the Third Proportional to 58,312.56 and 122,850.69

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Solution

The third proportional to 58,312.56 and 122,850.69 is: 258,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,312.56 : 122,850.69 = 122,850.69 : x
  2. Step 2: Convert to fraction form
    58,312.56/122,850.69 = 122,850.69/x
  3. Step 3: Cross multiply
    58,312.56x = 122,850.69 × 122,850.69
  4. Step 4: Simplify right side
    58,312.56x = 15,092,291,419.22
  5. Step 5: Solve for x
    x = 15,092,291,419.22/58,312.56
  6. Step 6: Final answer
    x = 258,817.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.