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Finding the Third Proportional to 64,407 and 141,010

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Solution

The third proportional to 64,407 and 141,010 is: 308,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,407 : 141,010 = 141,010 : x
  2. Step 2: Convert to fraction form
    64,407/141,010 = 141,010/x
  3. Step 3: Cross multiply
    64,407x = 141,010 × 141,010
  4. Step 4: Simplify right side
    64,407x = 19,883,820,100
  5. Step 5: Solve for x
    x = 19,883,820,100/64,407
  6. Step 6: Final answer
    x = 308,721.41

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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.