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Finding the Third Proportional to 74,026 and 110,545

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Solution

The third proportional to 74,026 and 110,545 is: 165,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026 : 110,545 = 110,545 : x
  2. Step 2: Convert to fraction form
    74,026/110,545 = 110,545/x
  3. Step 3: Cross multiply
    74,026x = 110,545 × 110,545
  4. Step 4: Simplify right side
    74,026x = 12,220,197,025
  5. Step 5: Solve for x
    x = 12,220,197,025/74,026
  6. Step 6: Final answer
    x = 165,079.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.