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Finding the Third Proportional to 134,502 and 195,417

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Solution

The third proportional to 134,502 and 195,417 is: 283,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,502 : 195,417 = 195,417 : x
  2. Step 2: Convert to fraction form
    134,502/195,417 = 195,417/x
  3. Step 3: Cross multiply
    134,502x = 195,417 × 195,417
  4. Step 4: Simplify right side
    134,502x = 38,187,803,889
  5. Step 5: Solve for x
    x = 38,187,803,889/134,502
  6. Step 6: Final answer
    x = 283,919.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.