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Finding the Third Proportional to 107,526 and 166,833

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Solution

The third proportional to 107,526 and 166,833 is: 258,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,526 : 166,833 = 166,833 : x
  2. Step 2: Convert to fraction form
    107,526/166,833 = 166,833/x
  3. Step 3: Cross multiply
    107,526x = 166,833 × 166,833
  4. Step 4: Simplify right side
    107,526x = 27,833,249,889
  5. Step 5: Solve for x
    x = 27,833,249,889/107,526
  6. Step 6: Final answer
    x = 258,851.35

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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.