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Finding the Third Proportional to 125,984 and 195,060

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Solution

The third proportional to 125,984 and 195,060 is: 302,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984 : 195,060 = 195,060 : x
  2. Step 2: Convert to fraction form
    125,984/195,060 = 195,060/x
  3. Step 3: Cross multiply
    125,984x = 195,060 × 195,060
  4. Step 4: Simplify right side
    125,984x = 38,048,403,600
  5. Step 5: Solve for x
    x = 38,048,403,600/125,984
  6. Step 6: Final answer
    x = 302,009.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.