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Finding the Third Proportional to 115,019 and 174,598

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Solution

The third proportional to 115,019 and 174,598 is: 265,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,019 : 174,598 = 174,598 : x
  2. Step 2: Convert to fraction form
    115,019/174,598 = 174,598/x
  3. Step 3: Cross multiply
    115,019x = 174,598 × 174,598
  4. Step 4: Simplify right side
    115,019x = 30,484,461,604
  5. Step 5: Solve for x
    x = 30,484,461,604/115,019
  6. Step 6: Final answer
    x = 265,038.49

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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.