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Finding the Third Proportional to 58,507.88 and 119,784.38

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Solution

The third proportional to 58,507.88 and 119,784.38 is: 245,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,507.88 : 119,784.38 = 119,784.38 : x
  2. Step 2: Convert to fraction form
    58,507.88/119,784.38 = 119,784.38/x
  3. Step 3: Cross multiply
    58,507.88x = 119,784.38 × 119,784.38
  4. Step 4: Simplify right side
    58,507.88x = 14,348,296,494.14
  5. Step 5: Solve for x
    x = 14,348,296,494.14/58,507.88
  6. Step 6: Final answer
    x = 245,237.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.