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Finding the Third Proportional to 125,214.75 and 278,421.75

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Solution

The third proportional to 125,214.75 and 278,421.75 is: 619,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,214.75 : 278,421.75 = 278,421.75 : x
  2. Step 2: Convert to fraction form
    125,214.75/278,421.75 = 278,421.75/x
  3. Step 3: Cross multiply
    125,214.75x = 278,421.75 × 278,421.75
  4. Step 4: Simplify right side
    125,214.75x = 77,518,670,873.06
  5. Step 5: Solve for x
    x = 77,518,670,873.06/125,214.75
  6. Step 6: Final answer
    x = 619,085.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.