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Finding the Third Proportional to 60,232.50 and 129,627

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Solution

The third proportional to 60,232.50 and 129,627 is: 278,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,232.50 : 129,627 = 129,627 : x
  2. Step 2: Convert to fraction form
    60,232.50/129,627 = 129,627/x
  3. Step 3: Cross multiply
    60,232.50x = 129,627 × 129,627
  4. Step 4: Simplify right side
    60,232.50x = 16,803,159,129
  5. Step 5: Solve for x
    x = 16,803,159,129/60,232.50
  6. Step 6: Final answer
    x = 278,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.