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Finding the Third Proportional to 115,901 and 249,133

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Solution

The third proportional to 115,901 and 249,133 is: 535,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,901 : 249,133 = 249,133 : x
  2. Step 2: Convert to fraction form
    115,901/249,133 = 249,133/x
  3. Step 3: Cross multiply
    115,901x = 249,133 × 249,133
  4. Step 4: Simplify right side
    115,901x = 62,067,251,689
  5. Step 5: Solve for x
    x = 62,067,251,689/115,901
  6. Step 6: Final answer
    x = 535,519.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.