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Finding the Third Proportional to 33,335 and 71,260

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Solution

The third proportional to 33,335 and 71,260 is: 152,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335 : 71,260 = 71,260 : x
  2. Step 2: Convert to fraction form
    33,335/71,260 = 71,260/x
  3. Step 3: Cross multiply
    33,335x = 71,260 × 71,260
  4. Step 4: Simplify right side
    33,335x = 5,077,987,600
  5. Step 5: Solve for x
    x = 5,077,987,600/33,335
  6. Step 6: Final answer
    x = 152,332.01

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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.