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Finding the Third Proportional to 64,716 and 97,668

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Solution

The third proportional to 64,716 and 97,668 is: 147,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716 : 97,668 = 97,668 : x
  2. Step 2: Convert to fraction form
    64,716/97,668 = 97,668/x
  3. Step 3: Cross multiply
    64,716x = 97,668 × 97,668
  4. Step 4: Simplify right side
    64,716x = 9,539,038,224
  5. Step 5: Solve for x
    x = 9,539,038,224/64,716
  6. Step 6: Final answer
    x = 147,398.45

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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.