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Finding the Third Proportional to 108,523.13 and 235,089

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Solution

The third proportional to 108,523.13 and 235,089 is: 509,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,523.13 : 235,089 = 235,089 : x
  2. Step 2: Convert to fraction form
    108,523.13/235,089 = 235,089/x
  3. Step 3: Cross multiply
    108,523.13x = 235,089 × 235,089
  4. Step 4: Simplify right side
    108,523.13x = 55,266,837,921
  5. Step 5: Solve for x
    x = 55,266,837,921/108,523.13
  6. Step 6: Final answer
    x = 509,263.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.