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Finding the Third Proportional to 64,929 and 98,097

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Solution

The third proportional to 64,929 and 98,097 is: 148,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 98,097 = 98,097 : x
  2. Step 2: Convert to fraction form
    64,929/98,097 = 98,097/x
  3. Step 3: Cross multiply
    64,929x = 98,097 × 98,097
  4. Step 4: Simplify right side
    64,929x = 9,623,021,409
  5. Step 5: Solve for x
    x = 9,623,021,409/64,929
  6. Step 6: Final answer
    x = 148,208.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.