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Finding the Third Proportional to 60,300 and 130,640

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Solution

The third proportional to 60,300 and 130,640 is: 283,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,300 : 130,640 = 130,640 : x
  2. Step 2: Convert to fraction form
    60,300/130,640 = 130,640/x
  3. Step 3: Cross multiply
    60,300x = 130,640 × 130,640
  4. Step 4: Simplify right side
    60,300x = 17,066,809,600
  5. Step 5: Solve for x
    x = 17,066,809,600/60,300
  6. Step 6: Final answer
    x = 283,031.67

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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.