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Finding the Third Proportional to 78,564 and 169,577

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Solution

The third proportional to 78,564 and 169,577 is: 366,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564 : 169,577 = 169,577 : x
  2. Step 2: Convert to fraction form
    78,564/169,577 = 169,577/x
  3. Step 3: Cross multiply
    78,564x = 169,577 × 169,577
  4. Step 4: Simplify right side
    78,564x = 28,756,358,929
  5. Step 5: Solve for x
    x = 28,756,358,929/78,564
  6. Step 6: Final answer
    x = 366,024.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.