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Finding the Third Proportional to 114,390 and 174,986

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Solution

The third proportional to 114,390 and 174,986 is: 267,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390 : 174,986 = 174,986 : x
  2. Step 2: Convert to fraction form
    114,390/174,986 = 174,986/x
  3. Step 3: Cross multiply
    114,390x = 174,986 × 174,986
  4. Step 4: Simplify right side
    114,390x = 30,620,100,196
  5. Step 5: Solve for x
    x = 30,620,100,196/114,390
  6. Step 6: Final answer
    x = 267,681.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.