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Finding the Third Proportional to 113,574 and 159,258

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Solution

The third proportional to 113,574 and 159,258 is: 223,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,574 : 159,258 = 159,258 : x
  2. Step 2: Convert to fraction form
    113,574/159,258 = 159,258/x
  3. Step 3: Cross multiply
    113,574x = 159,258 × 159,258
  4. Step 4: Simplify right side
    113,574x = 25,363,110,564
  5. Step 5: Solve for x
    x = 25,363,110,564/113,574
  6. Step 6: Final answer
    x = 223,317.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.