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Finding the Third Proportional to 115,969 and 249,094

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Solution

The third proportional to 115,969 and 249,094 is: 535,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969 : 249,094 = 249,094 : x
  2. Step 2: Convert to fraction form
    115,969/249,094 = 249,094/x
  3. Step 3: Cross multiply
    115,969x = 249,094 × 249,094
  4. Step 4: Simplify right side
    115,969x = 62,047,820,836
  5. Step 5: Solve for x
    x = 62,047,820,836/115,969
  6. Step 6: Final answer
    x = 535,037.99

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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.