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Finding the Third Proportional to 64,300 and 96,387

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Solution

The third proportional to 64,300 and 96,387 is: 144,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,300 : 96,387 = 96,387 : x
  2. Step 2: Convert to fraction form
    64,300/96,387 = 96,387/x
  3. Step 3: Cross multiply
    64,300x = 96,387 × 96,387
  4. Step 4: Simplify right side
    64,300x = 9,290,453,769
  5. Step 5: Solve for x
    x = 9,290,453,769/64,300
  6. Step 6: Final answer
    x = 144,486.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.