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Finding the Third Proportional to 115,082 and 249,892

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Solution

The third proportional to 115,082 and 249,892 is: 542,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082 : 249,892 = 249,892 : x
  2. Step 2: Convert to fraction form
    115,082/249,892 = 249,892/x
  3. Step 3: Cross multiply
    115,082x = 249,892 × 249,892
  4. Step 4: Simplify right side
    115,082x = 62,446,011,664
  5. Step 5: Solve for x
    x = 62,446,011,664/115,082
  6. Step 6: Final answer
    x = 542,621.88

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Why These Related Problems?

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