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Finding the Third Proportional to 64,500 and 97,723

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Solution

The third proportional to 64,500 and 97,723 is: 148,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500 : 97,723 = 97,723 : x
  2. Step 2: Convert to fraction form
    64,500/97,723 = 97,723/x
  3. Step 3: Cross multiply
    64,500x = 97,723 × 97,723
  4. Step 4: Simplify right side
    64,500x = 9,549,784,729
  5. Step 5: Solve for x
    x = 9,549,784,729/64,500
  6. Step 6: Final answer
    x = 148,058.68

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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.