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Finding the Third Proportional to 59,733 and 128,319

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Solution

The third proportional to 59,733 and 128,319 is: 275,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,733 : 128,319 = 128,319 : x
  2. Step 2: Convert to fraction form
    59,733/128,319 = 128,319/x
  3. Step 3: Cross multiply
    59,733x = 128,319 × 128,319
  4. Step 4: Simplify right side
    59,733x = 16,465,765,761
  5. Step 5: Solve for x
    x = 16,465,765,761/59,733
  6. Step 6: Final answer
    x = 275,656.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.