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Finding the Third Proportional to 103,657 and 146,646

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Solution

The third proportional to 103,657 and 146,646 is: 207,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657 : 146,646 = 146,646 : x
  2. Step 2: Convert to fraction form
    103,657/146,646 = 146,646/x
  3. Step 3: Cross multiply
    103,657x = 146,646 × 146,646
  4. Step 4: Simplify right side
    103,657x = 21,505,049,316
  5. Step 5: Solve for x
    x = 21,505,049,316/103,657
  6. Step 6: Final answer
    x = 207,463.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.