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Finding the Third Proportional to 60,732 and 128,388

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Solution

The third proportional to 60,732 and 128,388 is: 271,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,732 : 128,388 = 128,388 : x
  2. Step 2: Convert to fraction form
    60,732/128,388 = 128,388/x
  3. Step 3: Cross multiply
    60,732x = 128,388 × 128,388
  4. Step 4: Simplify right side
    60,732x = 16,483,478,544
  5. Step 5: Solve for x
    x = 16,483,478,544/60,732
  6. Step 6: Final answer
    x = 271,413.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.