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Finding the Third Proportional to 114,948 and 170,781.75

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Solution

The third proportional to 114,948 and 170,781.75 is: 253,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,948 : 170,781.75 = 170,781.75 : x
  2. Step 2: Convert to fraction form
    114,948/170,781.75 = 170,781.75/x
  3. Step 3: Cross multiply
    114,948x = 170,781.75 × 170,781.75
  4. Step 4: Simplify right side
    114,948x = 29,166,406,133.06
  5. Step 5: Solve for x
    x = 29,166,406,133.06/114,948
  6. Step 6: Final answer
    x = 253,735.66

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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.