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Finding the Third Proportional to 63,010.50 and 136,047

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Solution

The third proportional to 63,010.50 and 136,047 is: 293,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,010.50 : 136,047 = 136,047 : x
  2. Step 2: Convert to fraction form
    63,010.50/136,047 = 136,047/x
  3. Step 3: Cross multiply
    63,010.50x = 136,047 × 136,047
  4. Step 4: Simplify right side
    63,010.50x = 18,508,786,209
  5. Step 5: Solve for x
    x = 18,508,786,209/63,010.50
  6. Step 6: Final answer
    x = 293,741.30

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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.