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Finding the Third Proportional to 76,965 and 165,429

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Solution

The third proportional to 76,965 and 165,429 is: 355,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965 : 165,429 = 165,429 : x
  2. Step 2: Convert to fraction form
    76,965/165,429 = 165,429/x
  3. Step 3: Cross multiply
    76,965x = 165,429 × 165,429
  4. Step 4: Simplify right side
    76,965x = 27,366,754,041
  5. Step 5: Solve for x
    x = 27,366,754,041/76,965
  6. Step 6: Final answer
    x = 355,574.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.