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Finding the Third Proportional to 65,698 and 144,113

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Solution

The third proportional to 65,698 and 144,113 is: 316,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698 : 144,113 = 144,113 : x
  2. Step 2: Convert to fraction form
    65,698/144,113 = 144,113/x
  3. Step 3: Cross multiply
    65,698x = 144,113 × 144,113
  4. Step 4: Simplify right side
    65,698x = 20,768,556,769
  5. Step 5: Solve for x
    x = 20,768,556,769/65,698
  6. Step 6: Final answer
    x = 316,121.60

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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.