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Finding the Third Proportional to 77,943 and 168,048

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Solution

The third proportional to 77,943 and 168,048 is: 362,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,943 : 168,048 = 168,048 : x
  2. Step 2: Convert to fraction form
    77,943/168,048 = 168,048/x
  3. Step 3: Cross multiply
    77,943x = 168,048 × 168,048
  4. Step 4: Simplify right side
    77,943x = 28,240,130,304
  5. Step 5: Solve for x
    x = 28,240,130,304/77,943
  6. Step 6: Final answer
    x = 362,317.72

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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.