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Finding the Third Proportional to 53,724 and 93,258

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Solution

The third proportional to 53,724 and 93,258 is: 161,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,724 : 93,258 = 93,258 : x
  2. Step 2: Convert to fraction form
    53,724/93,258 = 93,258/x
  3. Step 3: Cross multiply
    53,724x = 93,258 × 93,258
  4. Step 4: Simplify right side
    53,724x = 8,697,054,564
  5. Step 5: Solve for x
    x = 8,697,054,564/53,724
  6. Step 6: Final answer
    x = 161,883.97

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.