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Finding the Third Proportional to 102,026 and 158,361

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Solution

The third proportional to 102,026 and 158,361 is: 245,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026 : 158,361 = 158,361 : x
  2. Step 2: Convert to fraction form
    102,026/158,361 = 158,361/x
  3. Step 3: Cross multiply
    102,026x = 158,361 × 158,361
  4. Step 4: Simplify right side
    102,026x = 25,078,206,321
  5. Step 5: Solve for x
    x = 25,078,206,321/102,026
  6. Step 6: Final answer
    x = 245,802.11

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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.