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Finding the Third Proportional to 105,258 and 162,943

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Solution

The third proportional to 105,258 and 162,943 is: 252,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,258 : 162,943 = 162,943 : x
  2. Step 2: Convert to fraction form
    105,258/162,943 = 162,943/x
  3. Step 3: Cross multiply
    105,258x = 162,943 × 162,943
  4. Step 4: Simplify right side
    105,258x = 26,550,421,249
  5. Step 5: Solve for x
    x = 26,550,421,249/105,258
  6. Step 6: Final answer
    x = 252,241.36

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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.