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Finding the Third Proportional to 34,688.25 and 71,123.06

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Solution

The third proportional to 34,688.25 and 71,123.06 is: 145,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688.25 : 71,123.06 = 71,123.06 : x
  2. Step 2: Convert to fraction form
    34,688.25/71,123.06 = 71,123.06/x
  3. Step 3: Cross multiply
    34,688.25x = 71,123.06 × 71,123.06
  4. Step 4: Simplify right side
    34,688.25x = 5,058,490,019.38
  5. Step 5: Solve for x
    x = 5,058,490,019.38/34,688.25
  6. Step 6: Final answer
    x = 145,827.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.