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Finding the Third Proportional to 64,576 and 96,929.50

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Solution

The third proportional to 64,576 and 96,929.50 is: 145,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,576 : 96,929.50 = 96,929.50 : x
  2. Step 2: Convert to fraction form
    64,576/96,929.50 = 96,929.50/x
  3. Step 3: Cross multiply
    64,576x = 96,929.50 × 96,929.50
  4. Step 4: Simplify right side
    64,576x = 9,395,327,970.25
  5. Step 5: Solve for x
    x = 9,395,327,970.25/64,576
  6. Step 6: Final answer
    x = 145,492.57

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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.