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Finding the Third Proportional to 102,062 and 158,421

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Solution

The third proportional to 102,062 and 158,421 is: 245,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062 : 158,421 = 158,421 : x
  2. Step 2: Convert to fraction form
    102,062/158,421 = 158,421/x
  3. Step 3: Cross multiply
    102,062x = 158,421 × 158,421
  4. Step 4: Simplify right side
    102,062x = 25,097,213,241
  5. Step 5: Solve for x
    x = 25,097,213,241/102,062
  6. Step 6: Final answer
    x = 245,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.