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Finding the Third Proportional to 60,834 and 130,073

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Solution

The third proportional to 60,834 and 130,073 is: 278,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,834 : 130,073 = 130,073 : x
  2. Step 2: Convert to fraction form
    60,834/130,073 = 130,073/x
  3. Step 3: Cross multiply
    60,834x = 130,073 × 130,073
  4. Step 4: Simplify right side
    60,834x = 16,918,985,329
  5. Step 5: Solve for x
    x = 16,918,985,329/60,834
  6. Step 6: Final answer
    x = 278,117.26

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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.