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Finding the Third Proportional to 116,621 and 185,657

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Solution

The third proportional to 116,621 and 185,657 is: 295,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,621 : 185,657 = 185,657 : x
  2. Step 2: Convert to fraction form
    116,621/185,657 = 185,657/x
  3. Step 3: Cross multiply
    116,621x = 185,657 × 185,657
  4. Step 4: Simplify right side
    116,621x = 34,468,521,649
  5. Step 5: Solve for x
    x = 34,468,521,649/116,621
  6. Step 6: Final answer
    x = 295,560.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.