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Finding the Third Proportional to 115,089 and 175,038

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Solution

The third proportional to 115,089 and 175,038 is: 266,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,089 : 175,038 = 175,038 : x
  2. Step 2: Convert to fraction form
    115,089/175,038 = 175,038/x
  3. Step 3: Cross multiply
    115,089x = 175,038 × 175,038
  4. Step 4: Simplify right side
    115,089x = 30,638,301,444
  5. Step 5: Solve for x
    x = 30,638,301,444/115,089
  6. Step 6: Final answer
    x = 266,213.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.