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Finding the Third Proportional to 113,923 and 249,292

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Solution

The third proportional to 113,923 and 249,292 is: 545,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,923 : 249,292 = 249,292 : x
  2. Step 2: Convert to fraction form
    113,923/249,292 = 249,292/x
  3. Step 3: Cross multiply
    113,923x = 249,292 × 249,292
  4. Step 4: Simplify right side
    113,923x = 62,146,501,264
  5. Step 5: Solve for x
    x = 62,146,501,264/113,923
  6. Step 6: Final answer
    x = 545,513.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.