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Finding the Third Proportional to 88,657.50 and 134,623.50

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Solution

The third proportional to 88,657.50 and 134,623.50 is: 204,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,657.50 : 134,623.50 = 134,623.50 : x
  2. Step 2: Convert to fraction form
    88,657.50/134,623.50 = 134,623.50/x
  3. Step 3: Cross multiply
    88,657.50x = 134,623.50 × 134,623.50
  4. Step 4: Simplify right side
    88,657.50x = 18,123,486,752.25
  5. Step 5: Solve for x
    x = 18,123,486,752.25/88,657.50
  6. Step 6: Final answer
    x = 204,421.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.