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Finding the Third Proportional to 64,628 and 97,010.25

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Solution

The third proportional to 64,628 and 97,010.25 is: 145,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,628 : 97,010.25 = 97,010.25 : x
  2. Step 2: Convert to fraction form
    64,628/97,010.25 = 97,010.25/x
  3. Step 3: Cross multiply
    64,628x = 97,010.25 × 97,010.25
  4. Step 4: Simplify right side
    64,628x = 9,410,988,605.06
  5. Step 5: Solve for x
    x = 9,410,988,605.06/64,628
  6. Step 6: Final answer
    x = 145,617.82

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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.