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Finding the Third Proportional to 107,748 and 170,529

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Solution

The third proportional to 107,748 and 170,529 is: 269,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,748 : 170,529 = 170,529 : x
  2. Step 2: Convert to fraction form
    107,748/170,529 = 170,529/x
  3. Step 3: Cross multiply
    107,748x = 170,529 × 170,529
  4. Step 4: Simplify right side
    107,748x = 29,080,139,841
  5. Step 5: Solve for x
    x = 29,080,139,841/107,748
  6. Step 6: Final answer
    x = 269,890.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.