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Finding the Third Proportional to 64,712 and 141,889

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Solution

The third proportional to 64,712 and 141,889 is: 311,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712 : 141,889 = 141,889 : x
  2. Step 2: Convert to fraction form
    64,712/141,889 = 141,889/x
  3. Step 3: Cross multiply
    64,712x = 141,889 × 141,889
  4. Step 4: Simplify right side
    64,712x = 20,132,488,321
  5. Step 5: Solve for x
    x = 20,132,488,321/64,712
  6. Step 6: Final answer
    x = 311,109.04

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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.