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Finding the Third Proportional to 77,026 and 165,536

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Solution

The third proportional to 77,026 and 165,536 is: 355,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,026 : 165,536 = 165,536 : x
  2. Step 2: Convert to fraction form
    77,026/165,536 = 165,536/x
  3. Step 3: Cross multiply
    77,026x = 165,536 × 165,536
  4. Step 4: Simplify right side
    77,026x = 27,402,167,296
  5. Step 5: Solve for x
    x = 27,402,167,296/77,026
  6. Step 6: Final answer
    x = 355,752.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.