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Finding the Third Proportional to 74,276 and 112,044

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Solution

The third proportional to 74,276 and 112,044 is: 169,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,276 : 112,044 = 112,044 : x
  2. Step 2: Convert to fraction form
    74,276/112,044 = 112,044/x
  3. Step 3: Cross multiply
    74,276x = 112,044 × 112,044
  4. Step 4: Simplify right side
    74,276x = 12,553,857,936
  5. Step 5: Solve for x
    x = 12,553,857,936/74,276
  6. Step 6: Final answer
    x = 169,016.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.