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Finding the Third Proportional to 61,362.50 and 132,407

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Solution

The third proportional to 61,362.50 and 132,407 is: 285,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,362.50 : 132,407 = 132,407 : x
  2. Step 2: Convert to fraction form
    61,362.50/132,407 = 132,407/x
  3. Step 3: Cross multiply
    61,362.50x = 132,407 × 132,407
  4. Step 4: Simplify right side
    61,362.50x = 17,531,613,649
  5. Step 5: Solve for x
    x = 17,531,613,649/61,362.50
  6. Step 6: Final answer
    x = 285,705.66

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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.