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Finding the Third Proportional to 25,924 and 60,706

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Solution

The third proportional to 25,924 and 60,706 is: 142,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 60,706 = 60,706 : x
  2. Step 2: Convert to fraction form
    25,924/60,706 = 60,706/x
  3. Step 3: Cross multiply
    25,924x = 60,706 × 60,706
  4. Step 4: Simplify right side
    25,924x = 3,685,218,436
  5. Step 5: Solve for x
    x = 3,685,218,436/25,924
  6. Step 6: Final answer
    x = 142,154.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.