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Finding the Third Proportional to 108,045 and 235,584

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Solution

The third proportional to 108,045 and 235,584 is: 513,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045 : 235,584 = 235,584 : x
  2. Step 2: Convert to fraction form
    108,045/235,584 = 235,584/x
  3. Step 3: Cross multiply
    108,045x = 235,584 × 235,584
  4. Step 4: Simplify right side
    108,045x = 55,499,821,056
  5. Step 5: Solve for x
    x = 55,499,821,056/108,045
  6. Step 6: Final answer
    x = 513,673.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.