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Finding the Third Proportional to 60,459.50 and 131,273.50

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Solution

The third proportional to 60,459.50 and 131,273.50 is: 285,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,459.50 : 131,273.50 = 131,273.50 : x
  2. Step 2: Convert to fraction form
    60,459.50/131,273.50 = 131,273.50/x
  3. Step 3: Cross multiply
    60,459.50x = 131,273.50 × 131,273.50
  4. Step 4: Simplify right side
    60,459.50x = 17,232,731,802.25
  5. Step 5: Solve for x
    x = 17,232,731,802.25/60,459.50
  6. Step 6: Final answer
    x = 285,029.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.