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Finding the Third Proportional to 61,708.50 and 133,014

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Solution

The third proportional to 61,708.50 and 133,014 is: 286,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,708.50 : 133,014 = 133,014 : x
  2. Step 2: Convert to fraction form
    61,708.50/133,014 = 133,014/x
  3. Step 3: Cross multiply
    61,708.50x = 133,014 × 133,014
  4. Step 4: Simplify right side
    61,708.50x = 17,692,724,196
  5. Step 5: Solve for x
    x = 17,692,724,196/61,708.50
  6. Step 6: Final answer
    x = 286,714.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.