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Finding the Third Proportional to 65,477 and 98,763

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Solution

The third proportional to 65,477 and 98,763 is: 148,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477 : 98,763 = 98,763 : x
  2. Step 2: Convert to fraction form
    65,477/98,763 = 98,763/x
  3. Step 3: Cross multiply
    65,477x = 98,763 × 98,763
  4. Step 4: Simplify right side
    65,477x = 9,754,130,169
  5. Step 5: Solve for x
    x = 9,754,130,169/65,477
  6. Step 6: Final answer
    x = 148,970.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.