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Finding the Third Proportional to 116,901 and 249,759

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Solution

The third proportional to 116,901 and 249,759 is: 533,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,901 : 249,759 = 249,759 : x
  2. Step 2: Convert to fraction form
    116,901/249,759 = 249,759/x
  3. Step 3: Cross multiply
    116,901x = 249,759 × 249,759
  4. Step 4: Simplify right side
    116,901x = 62,379,558,081
  5. Step 5: Solve for x
    x = 62,379,558,081/116,901
  6. Step 6: Final answer
    x = 533,610.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.