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Finding the Third Proportional to 95,258 and 139,935

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Solution

The third proportional to 95,258 and 139,935 is: 205,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 139,935 = 139,935 : x
  2. Step 2: Convert to fraction form
    95,258/139,935 = 139,935/x
  3. Step 3: Cross multiply
    95,258x = 139,935 × 139,935
  4. Step 4: Simplify right side
    95,258x = 19,581,804,225
  5. Step 5: Solve for x
    x = 19,581,804,225/95,258
  6. Step 6: Final answer
    x = 205,565.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.