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Finding the Third Proportional to 61,424 and 94,852

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Solution

The third proportional to 61,424 and 94,852 is: 146,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 94,852 = 94,852 : x
  2. Step 2: Convert to fraction form
    61,424/94,852 = 94,852/x
  3. Step 3: Cross multiply
    61,424x = 94,852 × 94,852
  4. Step 4: Simplify right side
    61,424x = 8,996,901,904
  5. Step 5: Solve for x
    x = 8,996,901,904/61,424
  6. Step 6: Final answer
    x = 146,472.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.