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Finding the Third Proportional to 60,179 and 130,402

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Solution

The third proportional to 60,179 and 130,402 is: 282,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,179 : 130,402 = 130,402 : x
  2. Step 2: Convert to fraction form
    60,179/130,402 = 130,402/x
  3. Step 3: Cross multiply
    60,179x = 130,402 × 130,402
  4. Step 4: Simplify right side
    60,179x = 17,004,681,604
  5. Step 5: Solve for x
    x = 17,004,681,604/60,179
  6. Step 6: Final answer
    x = 282,568.36

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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.