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Finding the Third Proportional to 64,566 and 97,815

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Solution

The third proportional to 64,566 and 97,815 is: 148,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,566 : 97,815 = 97,815 : x
  2. Step 2: Convert to fraction form
    64,566/97,815 = 97,815/x
  3. Step 3: Cross multiply
    64,566x = 97,815 × 97,815
  4. Step 4: Simplify right side
    64,566x = 9,567,774,225
  5. Step 5: Solve for x
    x = 9,567,774,225/64,566
  6. Step 6: Final answer
    x = 148,185.95

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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.