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Finding the Third Proportional to 60,004 and 130,588

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Solution

The third proportional to 60,004 and 130,588 is: 284,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,004 : 130,588 = 130,588 : x
  2. Step 2: Convert to fraction form
    60,004/130,588 = 130,588/x
  3. Step 3: Cross multiply
    60,004x = 130,588 × 130,588
  4. Step 4: Simplify right side
    60,004x = 17,053,225,744
  5. Step 5: Solve for x
    x = 17,053,225,744/60,004
  6. Step 6: Final answer
    x = 284,201.48

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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.