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Finding the Third Proportional to 115,065 and 176,607

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Solution

The third proportional to 115,065 and 176,607 is: 271,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,065 : 176,607 = 176,607 : x
  2. Step 2: Convert to fraction form
    115,065/176,607 = 176,607/x
  3. Step 3: Cross multiply
    115,065x = 176,607 × 176,607
  4. Step 4: Simplify right side
    115,065x = 31,190,032,449
  5. Step 5: Solve for x
    x = 31,190,032,449/115,065
  6. Step 6: Final answer
    x = 271,064.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.