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Finding the Third Proportional to 71,462.88 and 105,053.38

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Solution

The third proportional to 71,462.88 and 105,053.38 is: 154,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462.88 : 105,053.38 = 105,053.38 : x
  2. Step 2: Convert to fraction form
    71,462.88/105,053.38 = 105,053.38/x
  3. Step 3: Cross multiply
    71,462.88x = 105,053.38 × 105,053.38
  4. Step 4: Simplify right side
    71,462.88x = 11,036,211,598.89
  5. Step 5: Solve for x
    x = 11,036,211,598.89/71,462.88
  6. Step 6: Final answer
    x = 154,432.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.