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Finding the Third Proportional to 64,493.06 and 97,714.97

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Solution

The third proportional to 64,493.06 and 97,714.97 is: 148,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493.06 : 97,714.97 = 97,714.97 : x
  2. Step 2: Convert to fraction form
    64,493.06/97,714.97 = 97,714.97/x
  3. Step 3: Cross multiply
    64,493.06x = 97,714.97 × 97,714.97
  4. Step 4: Simplify right side
    64,493.06x = 9,548,215,117.81
  5. Step 5: Solve for x
    x = 9,548,215,117.81/64,493.06
  6. Step 6: Final answer
    x = 148,050.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.