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Finding the Third Proportional to 63,358 and 100,318

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Solution

The third proportional to 63,358 and 100,318 is: 158,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,358 : 100,318 = 100,318 : x
  2. Step 2: Convert to fraction form
    63,358/100,318 = 100,318/x
  3. Step 3: Cross multiply
    63,358x = 100,318 × 100,318
  4. Step 4: Simplify right side
    63,358x = 10,063,701,124
  5. Step 5: Solve for x
    x = 10,063,701,124/63,358
  6. Step 6: Final answer
    x = 158,838.68

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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.