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Finding the Third Proportional to 73,017 and 110,500.13

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Solution

The third proportional to 73,017 and 110,500.13 is: 167,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,017 : 110,500.13 = 110,500.13 : x
  2. Step 2: Convert to fraction form
    73,017/110,500.13 = 110,500.13/x
  3. Step 3: Cross multiply
    73,017x = 110,500.13 × 110,500.13
  4. Step 4: Simplify right side
    73,017x = 12,210,277,625.02
  5. Step 5: Solve for x
    x = 12,210,277,625.02/73,017
  6. Step 6: Final answer
    x = 167,225.13

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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.