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Finding the Third Proportional to 46,254 and 68,728.50

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Solution

The third proportional to 46,254 and 68,728.50 is: 102,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 68,728.50 = 68,728.50 : x
  2. Step 2: Convert to fraction form
    46,254/68,728.50 = 68,728.50/x
  3. Step 3: Cross multiply
    46,254x = 68,728.50 × 68,728.50
  4. Step 4: Simplify right side
    46,254x = 4,723,606,712.25
  5. Step 5: Solve for x
    x = 4,723,606,712.25/46,254
  6. Step 6: Final answer
    x = 102,123.20

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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.