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Finding the Third Proportional to 64,738 and 97,702

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Solution

The third proportional to 64,738 and 97,702 is: 147,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738 : 97,702 = 97,702 : x
  2. Step 2: Convert to fraction form
    64,738/97,702 = 97,702/x
  3. Step 3: Cross multiply
    64,738x = 97,702 × 97,702
  4. Step 4: Simplify right side
    64,738x = 9,545,680,804
  5. Step 5: Solve for x
    x = 9,545,680,804/64,738
  6. Step 6: Final answer
    x = 147,450.97

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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.