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Finding the Third Proportional to 65,616 and 101,796

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Solution

The third proportional to 65,616 and 101,796 is: 157,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,616 : 101,796 = 101,796 : x
  2. Step 2: Convert to fraction form
    65,616/101,796 = 101,796/x
  3. Step 3: Cross multiply
    65,616x = 101,796 × 101,796
  4. Step 4: Simplify right side
    65,616x = 10,362,425,616
  5. Step 5: Solve for x
    x = 10,362,425,616/65,616
  6. Step 6: Final answer
    x = 157,925.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.