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Finding the Third Proportional to 97,564 and 142,878

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Solution

The third proportional to 97,564 and 142,878 is: 209,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564 : 142,878 = 142,878 : x
  2. Step 2: Convert to fraction form
    97,564/142,878 = 142,878/x
  3. Step 3: Cross multiply
    97,564x = 142,878 × 142,878
  4. Step 4: Simplify right side
    97,564x = 20,414,122,884
  5. Step 5: Solve for x
    x = 20,414,122,884/97,564
  6. Step 6: Final answer
    x = 209,238.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.