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Finding the Third Proportional to 75,605 and 165,045.25

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Solution

The third proportional to 75,605 and 165,045.25 is: 360,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605 : 165,045.25 = 165,045.25 : x
  2. Step 2: Convert to fraction form
    75,605/165,045.25 = 165,045.25/x
  3. Step 3: Cross multiply
    75,605x = 165,045.25 × 165,045.25
  4. Step 4: Simplify right side
    75,605x = 27,239,934,547.56
  5. Step 5: Solve for x
    x = 27,239,934,547.56/75,605
  6. Step 6: Final answer
    x = 360,292.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.