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Finding the Third Proportional to 114,651 and 165,139

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Solution

The third proportional to 114,651 and 165,139 is: 237,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,651 : 165,139 = 165,139 : x
  2. Step 2: Convert to fraction form
    114,651/165,139 = 165,139/x
  3. Step 3: Cross multiply
    114,651x = 165,139 × 165,139
  4. Step 4: Simplify right side
    114,651x = 27,270,889,321
  5. Step 5: Solve for x
    x = 27,270,889,321/114,651
  6. Step 6: Final answer
    x = 237,860.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.