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Finding the Third Proportional to 59,427.50 and 129,515

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Solution

The third proportional to 59,427.50 and 129,515 is: 282,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427.50 : 129,515 = 129,515 : x
  2. Step 2: Convert to fraction form
    59,427.50/129,515 = 129,515/x
  3. Step 3: Cross multiply
    59,427.50x = 129,515 × 129,515
  4. Step 4: Simplify right side
    59,427.50x = 16,774,135,225
  5. Step 5: Solve for x
    x = 16,774,135,225/59,427.50
  6. Step 6: Final answer
    x = 282,262.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.