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Finding the Third Proportional to 64,975.50 and 142,359

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Solution

The third proportional to 64,975.50 and 142,359 is: 311,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,975.50 : 142,359 = 142,359 : x
  2. Step 2: Convert to fraction form
    64,975.50/142,359 = 142,359/x
  3. Step 3: Cross multiply
    64,975.50x = 142,359 × 142,359
  4. Step 4: Simplify right side
    64,975.50x = 20,266,084,881
  5. Step 5: Solve for x
    x = 20,266,084,881/64,975.50
  6. Step 6: Final answer
    x = 311,903.48

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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.