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Finding the Third Proportional to 118,747.13 and 174,978

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Solution

The third proportional to 118,747.13 and 174,978 is: 257,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,747.13 : 174,978 = 174,978 : x
  2. Step 2: Convert to fraction form
    118,747.13/174,978 = 174,978/x
  3. Step 3: Cross multiply
    118,747.13x = 174,978 × 174,978
  4. Step 4: Simplify right side
    118,747.13x = 30,617,300,484
  5. Step 5: Solve for x
    x = 30,617,300,484/118,747.13
  6. Step 6: Final answer
    x = 257,836.14

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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.