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Finding the Third Proportional to 125,694 and 271,066.50

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Solution

The third proportional to 125,694 and 271,066.50 is: 584,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,694 : 271,066.50 = 271,066.50 : x
  2. Step 2: Convert to fraction form
    125,694/271,066.50 = 271,066.50/x
  3. Step 3: Cross multiply
    125,694x = 271,066.50 × 271,066.50
  4. Step 4: Simplify right side
    125,694x = 73,477,047,422.25
  5. Step 5: Solve for x
    x = 73,477,047,422.25/125,694
  6. Step 6: Final answer
    x = 584,570.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.