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Finding the Third Proportional to 56,189.74 and 119,530.90

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Solution

The third proportional to 56,189.74 and 119,530.90 is: 254,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,189.74 : 119,530.90 = 119,530.90 : x
  2. Step 2: Convert to fraction form
    56,189.74/119,530.90 = 119,530.90/x
  3. Step 3: Cross multiply
    56,189.74x = 119,530.90 × 119,530.90
  4. Step 4: Simplify right side
    56,189.74x = 14,287,635,681.28
  5. Step 5: Solve for x
    x = 14,287,635,681.28/56,189.74
  6. Step 6: Final answer
    x = 254,274.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.