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Finding the Third Proportional to 63,500 and 100,465

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Solution

The third proportional to 63,500 and 100,465 is: 158,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,500 : 100,465 = 100,465 : x
  2. Step 2: Convert to fraction form
    63,500/100,465 = 100,465/x
  3. Step 3: Cross multiply
    63,500x = 100,465 × 100,465
  4. Step 4: Simplify right side
    63,500x = 10,093,216,225
  5. Step 5: Solve for x
    x = 10,093,216,225/63,500
  6. Step 6: Final answer
    x = 158,948.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.