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Finding the Third Proportional to 42,768 and 94,716

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Solution

The third proportional to 42,768 and 94,716 is: 209,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 94,716 = 94,716 : x
  2. Step 2: Convert to fraction form
    42,768/94,716 = 94,716/x
  3. Step 3: Cross multiply
    42,768x = 94,716 × 94,716
  4. Step 4: Simplify right side
    42,768x = 8,971,120,656
  5. Step 5: Solve for x
    x = 8,971,120,656/42,768
  6. Step 6: Final answer
    x = 209,762.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.