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Finding the Third Proportional to 116,562.38 and 174,123.84

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Solution

The third proportional to 116,562.38 and 174,123.84 is: 260,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,562.38 : 174,123.84 = 174,123.84 : x
  2. Step 2: Convert to fraction form
    116,562.38/174,123.84 = 174,123.84/x
  3. Step 3: Cross multiply
    116,562.38x = 174,123.84 × 174,123.84
  4. Step 4: Simplify right side
    116,562.38x = 30,319,112,962.27
  5. Step 5: Solve for x
    x = 30,319,112,962.27/116,562.38
  6. Step 6: Final answer
    x = 260,110.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.