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Finding the Third Proportional to 102,907 and 158,461

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Solution

The third proportional to 102,907 and 158,461 is: 244,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907 : 158,461 = 158,461 : x
  2. Step 2: Convert to fraction form
    102,907/158,461 = 158,461/x
  3. Step 3: Cross multiply
    102,907x = 158,461 × 158,461
  4. Step 4: Simplify right side
    102,907x = 25,109,888,521
  5. Step 5: Solve for x
    x = 25,109,888,521/102,907
  6. Step 6: Final answer
    x = 244,005.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.