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Finding the Third Proportional to 107,020 and 165,614

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Solution

The third proportional to 107,020 and 165,614 is: 256,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020 : 165,614 = 165,614 : x
  2. Step 2: Convert to fraction form
    107,020/165,614 = 165,614/x
  3. Step 3: Cross multiply
    107,020x = 165,614 × 165,614
  4. Step 4: Simplify right side
    107,020x = 27,427,996,996
  5. Step 5: Solve for x
    x = 27,427,996,996/107,020
  6. Step 6: Final answer
    x = 256,288.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.