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Finding the Third Proportional to 65,332 and 97,816

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Solution

The third proportional to 65,332 and 97,816 is: 146,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332 : 97,816 = 97,816 : x
  2. Step 2: Convert to fraction form
    65,332/97,816 = 97,816/x
  3. Step 3: Cross multiply
    65,332x = 97,816 × 97,816
  4. Step 4: Simplify right side
    65,332x = 9,567,969,856
  5. Step 5: Solve for x
    x = 9,567,969,856/65,332
  6. Step 6: Final answer
    x = 146,451.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.