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Finding the Third Proportional to 42,128 and 97,544

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Solution

The third proportional to 42,128 and 97,544 is: 225,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,128 : 97,544 = 97,544 : x
  2. Step 2: Convert to fraction form
    42,128/97,544 = 97,544/x
  3. Step 3: Cross multiply
    42,128x = 97,544 × 97,544
  4. Step 4: Simplify right side
    42,128x = 9,514,831,936
  5. Step 5: Solve for x
    x = 9,514,831,936/42,128
  6. Step 6: Final answer
    x = 225,855.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.