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Finding the Third Proportional to 103,072 and 147,000

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Solution

The third proportional to 103,072 and 147,000 is: 209,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072 : 147,000 = 147,000 : x
  2. Step 2: Convert to fraction form
    103,072/147,000 = 147,000/x
  3. Step 3: Cross multiply
    103,072x = 147,000 × 147,000
  4. Step 4: Simplify right side
    103,072x = 21,609,000,000
  5. Step 5: Solve for x
    x = 21,609,000,000/103,072
  6. Step 6: Final answer
    x = 209,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.