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Finding the Third Proportional to 64,071 and 102,028.50

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Solution

The third proportional to 64,071 and 102,028.50 is: 162,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,071 : 102,028.50 = 102,028.50 : x
  2. Step 2: Convert to fraction form
    64,071/102,028.50 = 102,028.50/x
  3. Step 3: Cross multiply
    64,071x = 102,028.50 × 102,028.50
  4. Step 4: Simplify right side
    64,071x = 10,409,814,812.25
  5. Step 5: Solve for x
    x = 10,409,814,812.25/64,071
  6. Step 6: Final answer
    x = 162,473.11

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Why These Related Problems?

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