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Finding the Third Proportional to 64,977.75 and 142,362

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Solution

The third proportional to 64,977.75 and 142,362 is: 311,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.75 : 142,362 = 142,362 : x
  2. Step 2: Convert to fraction form
    64,977.75/142,362 = 142,362/x
  3. Step 3: Cross multiply
    64,977.75x = 142,362 × 142,362
  4. Step 4: Simplify right side
    64,977.75x = 20,266,939,044
  5. Step 5: Solve for x
    x = 20,266,939,044/64,977.75
  6. Step 6: Final answer
    x = 311,905.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.