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Finding the Third Proportional to 103,423 and 151,029

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Solution

The third proportional to 103,423 and 151,029 is: 220,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423 : 151,029 = 151,029 : x
  2. Step 2: Convert to fraction form
    103,423/151,029 = 151,029/x
  3. Step 3: Cross multiply
    103,423x = 151,029 × 151,029
  4. Step 4: Simplify right side
    103,423x = 22,809,758,841
  5. Step 5: Solve for x
    x = 22,809,758,841/103,423
  6. Step 6: Final answer
    x = 220,548.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.