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Finding the Third Proportional to 115,971 and 249,098

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Solution

The third proportional to 115,971 and 249,098 is: 535,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971 : 249,098 = 249,098 : x
  2. Step 2: Convert to fraction form
    115,971/249,098 = 249,098/x
  3. Step 3: Cross multiply
    115,971x = 249,098 × 249,098
  4. Step 4: Simplify right side
    115,971x = 62,049,813,604
  5. Step 5: Solve for x
    x = 62,049,813,604/115,971
  6. Step 6: Final answer
    x = 535,045.95

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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.