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Finding the Third Proportional to 58,977 and 131,130

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Solution

The third proportional to 58,977 and 131,130 is: 291,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977 : 131,130 = 131,130 : x
  2. Step 2: Convert to fraction form
    58,977/131,130 = 131,130/x
  3. Step 3: Cross multiply
    58,977x = 131,130 × 131,130
  4. Step 4: Simplify right side
    58,977x = 17,195,076,900
  5. Step 5: Solve for x
    x = 17,195,076,900/58,977
  6. Step 6: Final answer
    x = 291,555.64

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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.