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Finding the Third Proportional to 58,536 and 130,173.75

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Solution

The third proportional to 58,536 and 130,173.75 is: 289,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,536 : 130,173.75 = 130,173.75 : x
  2. Step 2: Convert to fraction form
    58,536/130,173.75 = 130,173.75/x
  3. Step 3: Cross multiply
    58,536x = 130,173.75 × 130,173.75
  4. Step 4: Simplify right side
    58,536x = 16,945,205,189.06
  5. Step 5: Solve for x
    x = 16,945,205,189.06/58,536
  6. Step 6: Final answer
    x = 289,483.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.