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Finding the Third Proportional to 64,947 and 97,850

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Solution

The third proportional to 64,947 and 97,850 is: 147,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,947 : 97,850 = 97,850 : x
  2. Step 2: Convert to fraction form
    64,947/97,850 = 97,850/x
  3. Step 3: Cross multiply
    64,947x = 97,850 × 97,850
  4. Step 4: Simplify right side
    64,947x = 9,574,622,500
  5. Step 5: Solve for x
    x = 9,574,622,500/64,947
  6. Step 6: Final answer
    x = 147,422.09

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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.