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Finding the Third Proportional to 61,172 and 94,546

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Solution

The third proportional to 61,172 and 94,546 is: 146,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172 : 94,546 = 94,546 : x
  2. Step 2: Convert to fraction form
    61,172/94,546 = 94,546/x
  3. Step 3: Cross multiply
    61,172x = 94,546 × 94,546
  4. Step 4: Simplify right side
    61,172x = 8,938,946,116
  5. Step 5: Solve for x
    x = 8,938,946,116/61,172
  6. Step 6: Final answer
    x = 146,128.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.