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Finding the Third Proportional to 64,768 and 97,616

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Solution

The third proportional to 64,768 and 97,616 is: 147,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,768 : 97,616 = 97,616 : x
  2. Step 2: Convert to fraction form
    64,768/97,616 = 97,616/x
  3. Step 3: Cross multiply
    64,768x = 97,616 × 97,616
  4. Step 4: Simplify right side
    64,768x = 9,528,883,456
  5. Step 5: Solve for x
    x = 9,528,883,456/64,768
  6. Step 6: Final answer
    x = 147,123.32

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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.