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Finding the Third Proportional to 96,258 and 148,763

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Solution

The third proportional to 96,258 and 148,763 is: 229,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258 : 148,763 = 148,763 : x
  2. Step 2: Convert to fraction form
    96,258/148,763 = 148,763/x
  3. Step 3: Cross multiply
    96,258x = 148,763 × 148,763
  4. Step 4: Simplify right side
    96,258x = 22,130,430,169
  5. Step 5: Solve for x
    x = 22,130,430,169/96,258
  6. Step 6: Final answer
    x = 229,907.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.