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Finding the Third Proportional to 64,532 and 96,798

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Solution

The third proportional to 64,532 and 96,798 is: 145,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,532 : 96,798 = 96,798 : x
  2. Step 2: Convert to fraction form
    64,532/96,798 = 96,798/x
  3. Step 3: Cross multiply
    64,532x = 96,798 × 96,798
  4. Step 4: Simplify right side
    64,532x = 9,369,852,804
  5. Step 5: Solve for x
    x = 9,369,852,804/64,532
  6. Step 6: Final answer
    x = 145,197

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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.