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Finding the Third Proportional to 64,800 and 97,416

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Solution

The third proportional to 64,800 and 97,416 is: 146,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,800 : 97,416 = 97,416 : x
  2. Step 2: Convert to fraction form
    64,800/97,416 = 97,416/x
  3. Step 3: Cross multiply
    64,800x = 97,416 × 97,416
  4. Step 4: Simplify right side
    64,800x = 9,489,877,056
  5. Step 5: Solve for x
    x = 9,489,877,056/64,800
  6. Step 6: Final answer
    x = 146,448.72

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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.