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Finding the Third Proportional to 64,268 and 97,306

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Solution

The third proportional to 64,268 and 97,306 is: 147,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,268 : 97,306 = 97,306 : x
  2. Step 2: Convert to fraction form
    64,268/97,306 = 97,306/x
  3. Step 3: Cross multiply
    64,268x = 97,306 × 97,306
  4. Step 4: Simplify right side
    64,268x = 9,468,457,636
  5. Step 5: Solve for x
    x = 9,468,457,636/64,268
  6. Step 6: Final answer
    x = 147,327.72

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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.