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Finding the Third Proportional to 115,105.50 and 249,894

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Solution

The third proportional to 115,105.50 and 249,894 is: 542,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,105.50 : 249,894 = 249,894 : x
  2. Step 2: Convert to fraction form
    115,105.50/249,894 = 249,894/x
  3. Step 3: Cross multiply
    115,105.50x = 249,894 × 249,894
  4. Step 4: Simplify right side
    115,105.50x = 62,447,011,236
  5. Step 5: Solve for x
    x = 62,447,011,236/115,105.50
  6. Step 6: Final answer
    x = 542,519.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.