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Finding the Third Proportional to 60,046 and 129,369

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Solution

The third proportional to 60,046 and 129,369 is: 278,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,046 : 129,369 = 129,369 : x
  2. Step 2: Convert to fraction form
    60,046/129,369 = 129,369/x
  3. Step 3: Cross multiply
    60,046x = 129,369 × 129,369
  4. Step 4: Simplify right side
    60,046x = 16,736,338,161
  5. Step 5: Solve for x
    x = 16,736,338,161/60,046
  6. Step 6: Final answer
    x = 278,725.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.