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Finding the Third Proportional to 60,416.25 and 129,580.50

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Solution

The third proportional to 60,416.25 and 129,580.50 is: 277,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,416.25 : 129,580.50 = 129,580.50 : x
  2. Step 2: Convert to fraction form
    60,416.25/129,580.50 = 129,580.50/x
  3. Step 3: Cross multiply
    60,416.25x = 129,580.50 × 129,580.50
  4. Step 4: Simplify right side
    60,416.25x = 16,791,105,980.25
  5. Step 5: Solve for x
    x = 16,791,105,980.25/60,416.25
  6. Step 6: Final answer
    x = 277,923.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.