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Finding the Third Proportional to 75,639 and 162,948.25

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Solution

The third proportional to 75,639 and 162,948.25 is: 351,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639 : 162,948.25 = 162,948.25 : x
  2. Step 2: Convert to fraction form
    75,639/162,948.25 = 162,948.25/x
  3. Step 3: Cross multiply
    75,639x = 162,948.25 × 162,948.25
  4. Step 4: Simplify right side
    75,639x = 26,552,132,178.06
  5. Step 5: Solve for x
    x = 26,552,132,178.06/75,639
  6. Step 6: Final answer
    x = 351,037.59

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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.