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Finding the Third Proportional to 65,714 and 97,827

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Solution

The third proportional to 65,714 and 97,827 is: 145,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714 : 97,827 = 97,827 : x
  2. Step 2: Convert to fraction form
    65,714/97,827 = 97,827/x
  3. Step 3: Cross multiply
    65,714x = 97,827 × 97,827
  4. Step 4: Simplify right side
    65,714x = 9,570,121,929
  5. Step 5: Solve for x
    x = 9,570,121,929/65,714
  6. Step 6: Final answer
    x = 145,632.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.