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Finding the Third Proportional to 36,346 and 77,946

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Solution

The third proportional to 36,346 and 77,946 is: 167,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346 : 77,946 = 77,946 : x
  2. Step 2: Convert to fraction form
    36,346/77,946 = 77,946/x
  3. Step 3: Cross multiply
    36,346x = 77,946 × 77,946
  4. Step 4: Simplify right side
    36,346x = 6,075,578,916
  5. Step 5: Solve for x
    x = 6,075,578,916/36,346
  6. Step 6: Final answer
    x = 167,159.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.