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Finding the Third Proportional to 52,176 and 77,957

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Solution

The third proportional to 52,176 and 77,957 is: 116,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176 : 77,957 = 77,957 : x
  2. Step 2: Convert to fraction form
    52,176/77,957 = 77,957/x
  3. Step 3: Cross multiply
    52,176x = 77,957 × 77,957
  4. Step 4: Simplify right side
    52,176x = 6,077,293,849
  5. Step 5: Solve for x
    x = 6,077,293,849/52,176
  6. Step 6: Final answer
    x = 116,476.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.