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Finding the Third Proportional to 85,768 and 122,536

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Solution

The third proportional to 85,768 and 122,536 is: 175,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,768 : 122,536 = 122,536 : x
  2. Step 2: Convert to fraction form
    85,768/122,536 = 122,536/x
  3. Step 3: Cross multiply
    85,768x = 122,536 × 122,536
  4. Step 4: Simplify right side
    85,768x = 15,015,071,296
  5. Step 5: Solve for x
    x = 15,015,071,296/85,768
  6. Step 6: Final answer
    x = 175,066.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.