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Finding the Third Proportional to 64,855 and 142,011.50

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Solution

The third proportional to 64,855 and 142,011.50 is: 310,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855 : 142,011.50 = 142,011.50 : x
  2. Step 2: Convert to fraction form
    64,855/142,011.50 = 142,011.50/x
  3. Step 3: Cross multiply
    64,855x = 142,011.50 × 142,011.50
  4. Step 4: Simplify right side
    64,855x = 20,167,266,132.25
  5. Step 5: Solve for x
    x = 20,167,266,132.25/64,855
  6. Step 6: Final answer
    x = 310,959.31

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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.