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Finding the Third Proportional to 59,724 and 129,984

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Solution

The third proportional to 59,724 and 129,984 is: 282,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,724 : 129,984 = 129,984 : x
  2. Step 2: Convert to fraction form
    59,724/129,984 = 129,984/x
  3. Step 3: Cross multiply
    59,724x = 129,984 × 129,984
  4. Step 4: Simplify right side
    59,724x = 16,895,840,256
  5. Step 5: Solve for x
    x = 16,895,840,256/59,724
  6. Step 6: Final answer
    x = 282,898.67

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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.