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Finding the Third Proportional to 65,020 and 97,104

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Solution

The third proportional to 65,020 and 97,104 is: 145,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020 : 97,104 = 97,104 : x
  2. Step 2: Convert to fraction form
    65,020/97,104 = 97,104/x
  3. Step 3: Cross multiply
    65,020x = 97,104 × 97,104
  4. Step 4: Simplify right side
    65,020x = 9,429,186,816
  5. Step 5: Solve for x
    x = 9,429,186,816/65,020
  6. Step 6: Final answer
    x = 145,019.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.