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Finding the Third Proportional to 61,616 and 130,592

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Solution

The third proportional to 61,616 and 130,592 is: 276,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,616 : 130,592 = 130,592 : x
  2. Step 2: Convert to fraction form
    61,616/130,592 = 130,592/x
  3. Step 3: Cross multiply
    61,616x = 130,592 × 130,592
  4. Step 4: Simplify right side
    61,616x = 17,054,270,464
  5. Step 5: Solve for x
    x = 17,054,270,464/61,616
  6. Step 6: Final answer
    x = 276,783.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.