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Finding the Third Proportional to 75,065 and 162,160

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Solution

The third proportional to 75,065 and 162,160 is: 350,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,065 : 162,160 = 162,160 : x
  2. Step 2: Convert to fraction form
    75,065/162,160 = 162,160/x
  3. Step 3: Cross multiply
    75,065x = 162,160 × 162,160
  4. Step 4: Simplify right side
    75,065x = 26,295,865,600
  5. Step 5: Solve for x
    x = 26,295,865,600/75,065
  6. Step 6: Final answer
    x = 350,307.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.