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Finding the Third Proportional to 68,827.50 and 148,671

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Solution

The third proportional to 68,827.50 and 148,671 is: 321,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.50 : 148,671 = 148,671 : x
  2. Step 2: Convert to fraction form
    68,827.50/148,671 = 148,671/x
  3. Step 3: Cross multiply
    68,827.50x = 148,671 × 148,671
  4. Step 4: Simplify right side
    68,827.50x = 22,103,066,241
  5. Step 5: Solve for x
    x = 22,103,066,241/68,827.50
  6. Step 6: Final answer
    x = 321,137.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.