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Finding the Third Proportional to 71,123.06 and 105,089.91

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Solution

The third proportional to 71,123.06 and 105,089.91 is: 155,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,123.06 : 105,089.91 = 105,089.91 : x
  2. Step 2: Convert to fraction form
    71,123.06/105,089.91 = 105,089.91/x
  3. Step 3: Cross multiply
    71,123.06x = 105,089.91 × 105,089.91
  4. Step 4: Simplify right side
    71,123.06x = 11,043,888,395.63
  5. Step 5: Solve for x
    x = 11,043,888,395.63/71,123.06
  6. Step 6: Final answer
    x = 155,278.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.