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Finding the Third Proportional to 64,929 and 97,820

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Solution

The third proportional to 64,929 and 97,820 is: 147,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 97,820 = 97,820 : x
  2. Step 2: Convert to fraction form
    64,929/97,820 = 97,820/x
  3. Step 3: Cross multiply
    64,929x = 97,820 × 97,820
  4. Step 4: Simplify right side
    64,929x = 9,568,752,400
  5. Step 5: Solve for x
    x = 9,568,752,400/64,929
  6. Step 6: Final answer
    x = 147,372.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.