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Finding the Third Proportional to 64,291 and 141,036

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Solution

The third proportional to 64,291 and 141,036 is: 309,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,291 : 141,036 = 141,036 : x
  2. Step 2: Convert to fraction form
    64,291/141,036 = 141,036/x
  3. Step 3: Cross multiply
    64,291x = 141,036 × 141,036
  4. Step 4: Simplify right side
    64,291x = 19,891,153,296
  5. Step 5: Solve for x
    x = 19,891,153,296/64,291
  6. Step 6: Final answer
    x = 309,392.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.