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Finding the Third Proportional to 124,580 and 195,798

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Solution

The third proportional to 124,580 and 195,798 is: 307,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,580 : 195,798 = 195,798 : x
  2. Step 2: Convert to fraction form
    124,580/195,798 = 195,798/x
  3. Step 3: Cross multiply
    124,580x = 195,798 × 195,798
  4. Step 4: Simplify right side
    124,580x = 38,336,856,804
  5. Step 5: Solve for x
    x = 38,336,856,804/124,580
  6. Step 6: Final answer
    x = 307,728.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.