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Finding the Third Proportional to 117,924 and 186,724

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Solution

The third proportional to 117,924 and 186,724 is: 295,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,924 : 186,724 = 186,724 : x
  2. Step 2: Convert to fraction form
    117,924/186,724 = 186,724/x
  3. Step 3: Cross multiply
    117,924x = 186,724 × 186,724
  4. Step 4: Simplify right side
    117,924x = 34,865,852,176
  5. Step 5: Solve for x
    x = 34,865,852,176/117,924
  6. Step 6: Final answer
    x = 295,663.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.