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Finding the Third Proportional to 64,320 and 97,152

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Solution

The third proportional to 64,320 and 97,152 is: 146,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,320 : 97,152 = 97,152 : x
  2. Step 2: Convert to fraction form
    64,320/97,152 = 97,152/x
  3. Step 3: Cross multiply
    64,320x = 97,152 × 97,152
  4. Step 4: Simplify right side
    64,320x = 9,438,511,104
  5. Step 5: Solve for x
    x = 9,438,511,104/64,320
  6. Step 6: Final answer
    x = 146,743.02

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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.