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Finding the Third Proportional to 25,506 and 60,309

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Solution

The third proportional to 25,506 and 60,309 is: 142,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506 : 60,309 = 60,309 : x
  2. Step 2: Convert to fraction form
    25,506/60,309 = 60,309/x
  3. Step 3: Cross multiply
    25,506x = 60,309 × 60,309
  4. Step 4: Simplify right side
    25,506x = 3,637,175,481
  5. Step 5: Solve for x
    x = 3,637,175,481/25,506
  6. Step 6: Final answer
    x = 142,600.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.