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Finding the Third Proportional to 60,816 and 130,623

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Solution

The third proportional to 60,816 and 130,623 is: 280,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,816 : 130,623 = 130,623 : x
  2. Step 2: Convert to fraction form
    60,816/130,623 = 130,623/x
  3. Step 3: Cross multiply
    60,816x = 130,623 × 130,623
  4. Step 4: Simplify right side
    60,816x = 17,062,368,129
  5. Step 5: Solve for x
    x = 17,062,368,129/60,816
  6. Step 6: Final answer
    x = 280,557.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.