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Finding the Third Proportional to 76,148 and 165,364

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Solution

The third proportional to 76,148 and 165,364 is: 359,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 165,364 = 165,364 : x
  2. Step 2: Convert to fraction form
    76,148/165,364 = 165,364/x
  3. Step 3: Cross multiply
    76,148x = 165,364 × 165,364
  4. Step 4: Simplify right side
    76,148x = 27,345,252,496
  5. Step 5: Solve for x
    x = 27,345,252,496/76,148
  6. Step 6: Final answer
    x = 359,106.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.