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Finding the Third Proportional to 64,299 and 102,316.50

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Solution

The third proportional to 64,299 and 102,316.50 is: 162,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,299 : 102,316.50 = 102,316.50 : x
  2. Step 2: Convert to fraction form
    64,299/102,316.50 = 102,316.50/x
  3. Step 3: Cross multiply
    64,299x = 102,316.50 × 102,316.50
  4. Step 4: Simplify right side
    64,299x = 10,468,666,172.25
  5. Step 5: Solve for x
    x = 10,468,666,172.25/64,299
  6. Step 6: Final answer
    x = 162,812.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.