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Finding the Third Proportional to 64,629 and 97,012

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Solution

The third proportional to 64,629 and 97,012 is: 145,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,629 : 97,012 = 97,012 : x
  2. Step 2: Convert to fraction form
    64,629/97,012 = 97,012/x
  3. Step 3: Cross multiply
    64,629x = 97,012 × 97,012
  4. Step 4: Simplify right side
    64,629x = 9,411,328,144
  5. Step 5: Solve for x
    x = 9,411,328,144/64,629
  6. Step 6: Final answer
    x = 145,620.82

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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.