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Finding the Third Proportional to 65,366 and 97,788

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Solution

The third proportional to 65,366 and 97,788 is: 146,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,366 : 97,788 = 97,788 : x
  2. Step 2: Convert to fraction form
    65,366/97,788 = 97,788/x
  3. Step 3: Cross multiply
    65,366x = 97,788 × 97,788
  4. Step 4: Simplify right side
    65,366x = 9,562,492,944
  5. Step 5: Solve for x
    x = 9,562,492,944/65,366
  6. Step 6: Final answer
    x = 146,291.54

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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.