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Finding the Third Proportional to 52,546 and 72,258

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Solution

The third proportional to 52,546 and 72,258 is: 99,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 72,258 = 72,258 : x
  2. Step 2: Convert to fraction form
    52,546/72,258 = 72,258/x
  3. Step 3: Cross multiply
    52,546x = 72,258 × 72,258
  4. Step 4: Simplify right side
    52,546x = 5,221,218,564
  5. Step 5: Solve for x
    x = 5,221,218,564/52,546
  6. Step 6: Final answer
    x = 99,364.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.