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Finding the Third Proportional to 115,114 and 249,916

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Solution

The third proportional to 115,114 and 249,916 is: 542,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114 : 249,916 = 249,916 : x
  2. Step 2: Convert to fraction form
    115,114/249,916 = 249,916/x
  3. Step 3: Cross multiply
    115,114x = 249,916 × 249,916
  4. Step 4: Simplify right side
    115,114x = 62,458,007,056
  5. Step 5: Solve for x
    x = 62,458,007,056/115,114
  6. Step 6: Final answer
    x = 542,575.25

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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.