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Finding the Third Proportional to 60,526 and 128,334

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Solution

The third proportional to 60,526 and 128,334 is: 272,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,526 : 128,334 = 128,334 : x
  2. Step 2: Convert to fraction form
    60,526/128,334 = 128,334/x
  3. Step 3: Cross multiply
    60,526x = 128,334 × 128,334
  4. Step 4: Simplify right side
    60,526x = 16,469,615,556
  5. Step 5: Solve for x
    x = 16,469,615,556/60,526
  6. Step 6: Final answer
    x = 272,108.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.