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Finding the Third Proportional to 64,646 and 97,033

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Solution

The third proportional to 64,646 and 97,033 is: 145,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646 : 97,033 = 97,033 : x
  2. Step 2: Convert to fraction form
    64,646/97,033 = 97,033/x
  3. Step 3: Cross multiply
    64,646x = 97,033 × 97,033
  4. Step 4: Simplify right side
    64,646x = 9,415,403,089
  5. Step 5: Solve for x
    x = 9,415,403,089/64,646
  6. Step 6: Final answer
    x = 145,645.56

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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.