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Finding the Third Proportional to 32,567.06 and 71,123.06

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Solution

The third proportional to 32,567.06 and 71,123.06 is: 155,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.06 : 71,123.06 = 71,123.06 : x
  2. Step 2: Convert to fraction form
    32,567.06/71,123.06 = 71,123.06/x
  3. Step 3: Cross multiply
    32,567.06x = 71,123.06 × 71,123.06
  4. Step 4: Simplify right side
    32,567.06x = 5,058,490,019.38
  5. Step 5: Solve for x
    x = 5,058,490,019.38/32,567.06
  6. Step 6: Final answer
    x = 155,325.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.