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Finding the Third Proportional to 72,457 and 112,099

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Solution

The third proportional to 72,457 and 112,099 is: 173,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457 : 112,099 = 112,099 : x
  2. Step 2: Convert to fraction form
    72,457/112,099 = 112,099/x
  3. Step 3: Cross multiply
    72,457x = 112,099 × 112,099
  4. Step 4: Simplify right side
    72,457x = 12,566,185,801
  5. Step 5: Solve for x
    x = 12,566,185,801/72,457
  6. Step 6: Final answer
    x = 173,429.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.