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Finding the Third Proportional to 34,342.13 and 71,315.06

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Solution

The third proportional to 34,342.13 and 71,315.06 is: 148,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342.13 : 71,315.06 = 71,315.06 : x
  2. Step 2: Convert to fraction form
    34,342.13/71,315.06 = 71,315.06/x
  3. Step 3: Cross multiply
    34,342.13x = 71,315.06 × 71,315.06
  4. Step 4: Simplify right side
    34,342.13x = 5,085,838,139.38
  5. Step 5: Solve for x
    x = 5,085,838,139.38/34,342.13
  6. Step 6: Final answer
    x = 148,093.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.