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Finding the Third Proportional to 90,580.50 and 123,005.25

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Solution

The third proportional to 90,580.50 and 123,005.25 is: 167,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,580.50 : 123,005.25 = 123,005.25 : x
  2. Step 2: Convert to fraction form
    90,580.50/123,005.25 = 123,005.25/x
  3. Step 3: Cross multiply
    90,580.50x = 123,005.25 × 123,005.25
  4. Step 4: Simplify right side
    90,580.50x = 15,130,291,527.56
  5. Step 5: Solve for x
    x = 15,130,291,527.56/90,580.50
  6. Step 6: Final answer
    x = 167,036.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.