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Finding the Third Proportional to 64,327.50 and 133,123.50

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Solution

The third proportional to 64,327.50 and 133,123.50 is: 275,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,327.50 : 133,123.50 = 133,123.50 : x
  2. Step 2: Convert to fraction form
    64,327.50/133,123.50 = 133,123.50/x
  3. Step 3: Cross multiply
    64,327.50x = 133,123.50 × 133,123.50
  4. Step 4: Simplify right side
    64,327.50x = 17,721,866,252.25
  5. Step 5: Solve for x
    x = 17,721,866,252.25/64,327.50
  6. Step 6: Final answer
    x = 275,494.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.