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Finding the Third Proportional to 46,960 and 77,352

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Solution

The third proportional to 46,960 and 77,352 is: 127,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,960 : 77,352 = 77,352 : x
  2. Step 2: Convert to fraction form
    46,960/77,352 = 77,352/x
  3. Step 3: Cross multiply
    46,960x = 77,352 × 77,352
  4. Step 4: Simplify right side
    46,960x = 5,983,331,904
  5. Step 5: Solve for x
    x = 5,983,331,904/46,960
  6. Step 6: Final answer
    x = 127,413.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.