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Finding the Third Proportional to 122,913 and 175,513

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Solution

The third proportional to 122,913 and 175,513 is: 250,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,913 : 175,513 = 175,513 : x
  2. Step 2: Convert to fraction form
    122,913/175,513 = 175,513/x
  3. Step 3: Cross multiply
    122,913x = 175,513 × 175,513
  4. Step 4: Simplify right side
    122,913x = 30,804,813,169
  5. Step 5: Solve for x
    x = 30,804,813,169/122,913
  6. Step 6: Final answer
    x = 250,622.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.