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Finding the Third Proportional to 64,686 and 97,118

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Solution

The third proportional to 64,686 and 97,118 is: 145,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 97,118 = 97,118 : x
  2. Step 2: Convert to fraction form
    64,686/97,118 = 97,118/x
  3. Step 3: Cross multiply
    64,686x = 97,118 × 97,118
  4. Step 4: Simplify right side
    64,686x = 9,431,905,924
  5. Step 5: Solve for x
    x = 9,431,905,924/64,686
  6. Step 6: Final answer
    x = 145,810.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.