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Finding the Third Proportional to 102,039 and 158,287

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Solution

The third proportional to 102,039 and 158,287 is: 245,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039 : 158,287 = 158,287 : x
  2. Step 2: Convert to fraction form
    102,039/158,287 = 158,287/x
  3. Step 3: Cross multiply
    102,039x = 158,287 × 158,287
  4. Step 4: Simplify right side
    102,039x = 25,054,774,369
  5. Step 5: Solve for x
    x = 25,054,774,369/102,039
  6. Step 6: Final answer
    x = 245,541.16

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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.