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Finding the Third Proportional to 58,114.50 and 122,757

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Solution

The third proportional to 58,114.50 and 122,757 is: 259,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,114.50 : 122,757 = 122,757 : x
  2. Step 2: Convert to fraction form
    58,114.50/122,757 = 122,757/x
  3. Step 3: Cross multiply
    58,114.50x = 122,757 × 122,757
  4. Step 4: Simplify right side
    58,114.50x = 15,069,281,049
  5. Step 5: Solve for x
    x = 15,069,281,049/58,114.50
  6. Step 6: Final answer
    x = 259,303.29

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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.