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Finding the Third Proportional to 60,140 and 128,624

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Solution

The third proportional to 60,140 and 128,624 is: 275,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,140 : 128,624 = 128,624 : x
  2. Step 2: Convert to fraction form
    60,140/128,624 = 128,624/x
  3. Step 3: Cross multiply
    60,140x = 128,624 × 128,624
  4. Step 4: Simplify right side
    60,140x = 16,544,133,376
  5. Step 5: Solve for x
    x = 16,544,133,376/60,140
  6. Step 6: Final answer
    x = 275,093.67

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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.