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Finding the Third Proportional to 48,273 and 76,777.50

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Solution

The third proportional to 48,273 and 76,777.50 is: 122,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,273 : 76,777.50 = 76,777.50 : x
  2. Step 2: Convert to fraction form
    48,273/76,777.50 = 76,777.50/x
  3. Step 3: Cross multiply
    48,273x = 76,777.50 × 76,777.50
  4. Step 4: Simplify right side
    48,273x = 5,894,784,506.25
  5. Step 5: Solve for x
    x = 5,894,784,506.25/48,273
  6. Step 6: Final answer
    x = 122,113.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.