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Finding the Third Proportional to 86,598 and 115,641

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Solution

The third proportional to 86,598 and 115,641 is: 154,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,598 : 115,641 = 115,641 : x
  2. Step 2: Convert to fraction form
    86,598/115,641 = 115,641/x
  3. Step 3: Cross multiply
    86,598x = 115,641 × 115,641
  4. Step 4: Simplify right side
    86,598x = 13,372,840,881
  5. Step 5: Solve for x
    x = 13,372,840,881/86,598
  6. Step 6: Final answer
    x = 154,424.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.