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Finding the Third Proportional to 59,967 and 97,497

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Solution

The third proportional to 59,967 and 97,497 is: 158,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,967 : 97,497 = 97,497 : x
  2. Step 2: Convert to fraction form
    59,967/97,497 = 97,497/x
  3. Step 3: Cross multiply
    59,967x = 97,497 × 97,497
  4. Step 4: Simplify right side
    59,967x = 9,505,665,009
  5. Step 5: Solve for x
    x = 9,505,665,009/59,967
  6. Step 6: Final answer
    x = 158,514.93

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.