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Finding the Third Proportional to 65,402.25 and 141,258

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Solution

The third proportional to 65,402.25 and 141,258 is: 305,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402.25 : 141,258 = 141,258 : x
  2. Step 2: Convert to fraction form
    65,402.25/141,258 = 141,258/x
  3. Step 3: Cross multiply
    65,402.25x = 141,258 × 141,258
  4. Step 4: Simplify right side
    65,402.25x = 19,953,822,564
  5. Step 5: Solve for x
    x = 19,953,822,564/65,402.25
  6. Step 6: Final answer
    x = 305,093.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.