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Finding the Third Proportional to 61,405.31 and 97,644.38

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Solution

The third proportional to 61,405.31 and 97,644.38 is: 155,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405.31 : 97,644.38 = 97,644.38 : x
  2. Step 2: Convert to fraction form
    61,405.31/97,644.38 = 97,644.38/x
  3. Step 3: Cross multiply
    61,405.31x = 97,644.38 × 97,644.38
  4. Step 4: Simplify right side
    61,405.31x = 9,534,423,969.14
  5. Step 5: Solve for x
    x = 9,534,423,969.14/61,405.31
  6. Step 6: Final answer
    x = 155,270.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.