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Finding the Third Proportional to 115,101 and 175,056

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Solution

The third proportional to 115,101 and 175,056 is: 266,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101 : 175,056 = 175,056 : x
  2. Step 2: Convert to fraction form
    115,101/175,056 = 175,056/x
  3. Step 3: Cross multiply
    115,101x = 175,056 × 175,056
  4. Step 4: Simplify right side
    115,101x = 30,644,603,136
  5. Step 5: Solve for x
    x = 30,644,603,136/115,101
  6. Step 6: Final answer
    x = 266,240.98

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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.