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Finding the Third Proportional to 107,507 and 166,805

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Solution

The third proportional to 107,507 and 166,805 is: 258,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,507 : 166,805 = 166,805 : x
  2. Step 2: Convert to fraction form
    107,507/166,805 = 166,805/x
  3. Step 3: Cross multiply
    107,507x = 166,805 × 166,805
  4. Step 4: Simplify right side
    107,507x = 27,823,908,025
  5. Step 5: Solve for x
    x = 27,823,908,025/107,507
  6. Step 6: Final answer
    x = 258,810.20

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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.